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225502513431 = 31322915337177
BaseRepresentation
bin1101001000000011111…
…1110100100100010111
3210120001122202121010220
43102000333310210113
512143312120412211
6251332221245423
722202106511056
oct3220077644427
9716048677126
10225502513431
11876a9320a88
1237854403873
13183599aa800
14acb30b639d
155cec309806
hex3480ff4917

225502513431 has 24 divisors (see below), whose sum is σ = 336804428880. Its totient is φ = 133985569536.

The previous prime is 225502513391. The next prime is 225502513459. The reversal of 225502513431 is 134315205522.

225502513431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 225502513431 - 211 = 225502511383 is a prime.

It is a super-2 number, since 2×2255025134312 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 225502513392 and 225502513401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225502513331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7653886 + ... + 7683291.

It is an arithmetic number, because the mean of its divisors is an integer number (14033517870).

Almost surely, 2225502513431 is an apocalyptic number.

225502513431 is a deficient number, since it is larger than the sum of its proper divisors (111301915449).

225502513431 is a wasteful number, since it uses less digits than its factorization.

225502513431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15337235 (or 15337222 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

Adding to 225502513431 its reverse (134315205522), we get a palindrome (359817718953).

The spelling of 225502513431 in words is "two hundred twenty-five billion, five hundred two million, five hundred thirteen thousand, four hundred thirty-one".

Divisors: 1 3 13 29 39 87 169 377 507 1131 4901 14703 15337177 46011531 199383301 444778133 598149903 1334334399 2591982913 5782115729 7775948739 17346347187 75167504477 225502513431