225485568 has 432 divisors, whose sum is σ = 857106432. Its totient is φ = 55296000.

The previous prime is 225485549. The next prime is 225485573. The reversal of 225485568 is 865584522.

It is a happy number.

225485568 is a `hidden beast` number, since 2 + 2 + 5 + 4 + 85 + 568 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5499628 + ... + 5499668.

Almost surely, 2^225485568 is an apocalyptic number.

225485568 is a gapful number since it is divisible by the number (28) 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 225485568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428553216).

225485568 is an abundant number, since it is smaller than the sum of its proper divisors (631620864).

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

225485568 is a wasteful number, since it uses less digits than its factorization.

225485568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 95 counting only the distinct ones).

The product of its digits is 768000, while the sum is 45.

The square root of 225485568 is about 15016.1768769551. The cubic root of 225485568 is about 608.6574144758.

The spelling of 225485568 in words is "two hundred twenty-five million, four hundred eighty-five thousand, five hundred sixty-eight".