Search a number
-
+
218258231 is a prime number
BaseRepresentation
bin11010000001001…
…01101100110111
3120012200200000012
431000211230313
5421333230411
633354010435
75260110242
oct1500455467
9505620005
10218258231
11102223704
1261116a1b
13362aa9a9
1420db6259
151426418b
hexd025b37

218258231 has 2 divisors, whose sum is σ = 218258232. Its totient is φ = 218258230.

The previous prime is 218258219. The next prime is 218258233. The reversal of 218258231 is 132852812.

It is a happy number.

218258231 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 218258231 - 218 = 217996087 is a prime.

It is a super-2 number, since 2×2182582312 = 95273310798498722, which contains 22 as substring.

Together with 218258233, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (218258233) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 109129115 + 109129116.

It is an arithmetic number, because the mean of its divisors is an integer number (109129116).

Almost surely, 2218258231 is an apocalyptic number.

218258231 is a deficient number, since it is larger than the sum of its proper divisors (1).

218258231 is an equidigital number, since it uses as much as digits as its factorization.

218258231 is an evil number, because the sum of its binary digits is even.

The product of its digits is 7680, while the sum is 32.

The square root of 218258231 is about 14773.5652772105. The cubic root of 218258231 is about 602.0837098415.

The spelling of 218258231 in words is "two hundred eighteen million, two hundred fifty-eight thousand, two hundred thirty-one".