218819 (number)
218,819 (two hundred eighteen thousand eight hundred nineteen) is an odd sixdigits prime number following 218818 and preceding 218820. In scientific notation, it is written as 2.18819 × 10^{5}. The sum of its digits is 29. It has a total of 1 prime factor and 2 positive divisors. There are 218,818 positive integers (up to 218819) that are relatively prime to 218819.
Basic properties
 Is Prime? Yes
 Number parity Odd
 Number length 6
 Sum of Digits 29
 Digital Root 2
Name
Short name  218 thousand 819 

Full name  two hundred eighteen thousand eight hundred nineteen 
Notation
Scientific notation  2.18819 × 10^{5} 

Engineering notation  218.819 × 10^{3} 
Prime Factorization of 218819
Prime Factorization 218819
Prime numberω(n)  Distinct Factors  1  Total number of distinct prime factors 

Ω(n)  Total Factors  1  Total number of prime factors 
rad(n)  Radical  218819  Product of the distinct prime numbers 
λ(n)  Liouville Lambda  1  Returns the parity of Ω(n), such that λ(n) = (1)^{Ω(n)} 
μ(n)  Mobius Mu  1  Returns:

Λ(n)  Mangoldt function  12.296000183054  Returns log(p) if n is a power p^{k} of any prime p (for any k >= 1), else returns 0 
The prime factorization of 218,819 is 218819. Since it has a total of 1 prime factor, 218,819 is a prime number.
Divisors of 218819
2 divisors
τ(n)  Total Divisors  2  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  218820  Sum of all the positive divisors of n 
s(n)  Aliquot Sum  1  Sum of the proper positive divisors of n 
A(n)  Arithmetic Mean  109410  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  467.7809316336  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  1.9999908600676  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 218,819 can be divided by 2 positive divisors (out of which 0 are even, and 2 are odd). The sum of these divisors (counting 218,819) is 218,820, the average is 109,410.
Other Arithmetic Functions (n = 218819)
φ(n)  Euler Totient  218818  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  218818  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 19466  Total number of primes less than or equal to n 
r_{2}(n)  Sum of 2 squares  0  The number of ways n can be represented as the sum of 2 squares 
There are 218,818 positive integers (less than 218,819) that are coprime with 218,819. And there are approximately 19,466 prime numbers less than or equal to 218,819.
Divisibility of 218819
m  2  3  4  5  6  7  8  9 

n mod m  1  2  3  4  5  6  3  2 
218,819 is not divisible by any number less than or equal to 9.
Classification of 218819
By Arithmetic functions
 Arithmetic
 Prime
 Deficient
Expressible via specific sums
 Polite
 Nonhypotenuse
By Powers
 Prime Power
 Square Free
Base conversion (218819)
Base  System  Value 

2  Binary  110101011011000011 
3  Ternary  102010011102 
4  Quaternary  311123003 
5  Quinary  24000234 
6  Senary  4405015 
8  Octal  653303 
10  Decimal  218819 
12  Duodecimal  a676b 
16  Hexadecimal  356c3 
20  Vigesimal  1770j 
36  Base36  4oub 
Basic calculations (n = 218819)
Multiplication
n×yn×2  437638 

n×3  656457 
n×4  875276 
n×5  1094095 
Division
n÷yn÷2  109409.500 

n÷3  72939.666 
n÷4  54704.750 
n÷5  43763.800 
Exponentiation
n^{y}n^{2}  47881754761 

n^{3}  10477437695047259 
n^{4}  2292662438992546167121 
n^{5}  501678102237909959743250099 
Nth Root
^{y}√n^{2}√n  467.7809316336 

^{3}√n  60.259891169488 
^{4}√n  21.628243840719 
^{5}√n  11.69545186347 
218819 as geometric shapes
Circle
Radius = nDiameter  437638 

Circumference  1374880.3257317 
Area  150424968998.15 
Sphere
Radius = nVolume  4.3887788388274E+16 

Surface area  601699875992.58 
Circumference  1374880.3257317 
Square
Length = nPerimeter  875276 

Area  47881754761 
Diagonal  309456.79750492 
Cube
Length = nSurface area  287290528566 

Volume  10477437695047259 
Space diagonal  379005.62566141 
Equilateral Triangle
Length = nPerimeter  656457 

Area  20733408000.401 
Altitude  189502.81283071 
Triangular Pyramid
Length = nSurface area  82933632001.605 

Volume  1.2347778739379E+15 
Height  178664.96534202 
Cryptographic Hash Functions
md5  e0eb532c2d562fd128cf78c5741aaa1f 

sha1  7a3dda59dd01267eafd569980fb9e8c7a5d01d86 
sha256  1e957abb1ba3404dc7644c01c52653ffdfc70ec96c44ce64906e175a3a4b89cc 
sha512  dca8df7d71d2a984a9908b49fd6c61457328e1dd322fe84a58fd48173a8a379da849977a9b5b6a4d1d92c5450cda966b485201c370c1fde1f216f1a686c95f9e 
ripemd160  49d383d1779c7c1d8a4dfba024ab7cdd52fd7d8d 