225657600 has 432 divisors, whose sum is σ = 900275712. Its totient is φ = 48660480.

The previous prime is 225657583. The next prime is 225657611. The reversal of 225657600 is 6756522.

225657600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3091164 + ... + 3091236.

Almost surely, 2^225657600 is an apocalyptic number.

225657600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225657600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450137856).

225657600 is an abundant number, since it is smaller than the sum of its proper divisors (674618112).

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

225657600 is a wasteful number, since it uses less digits than its factorization.

225657600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 225657600 is about 15021.9040071490. The cubic root of 225657600 is about 608.8121648600.

The spelling of 225657600 in words is "two hundred twenty-five million, six hundred fifty-seven thousand, six hundred".