225702624 has 72 divisors (see below), whose sum is σ = 689213448. Its totient is φ = 64485120.

The previous prime is 225702613. The next prime is 225702637. The reversal of 225702624 is 426207522.

225702624 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 225702591 and 225702600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19287 + ... + 28694.

It is an arithmetic number, because the mean of its divisors is an integer number (9572409).

Almost surely, 2^225702624 is an apocalyptic number.

225702624 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

225702624 is an abundant number, since it is smaller than the sum of its proper divisors (463510824).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

225702624 is a wasteful number, since it uses less digits than its factorization.

225702624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48008 (or 47993 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 225702624 is about 15023.4025440311. The cubic root of 225702624 is about 608.8526529506.

The spelling of 225702624 in words is "two hundred twenty-five million, seven hundred two thousand, six hundred twenty-four".