225633588 has 96 divisors (see below), whose sum is σ = 612541440. Its totient is φ = 64120320.

The previous prime is 225633587. The next prime is 225633613. The reversal of 225633588 is 885336522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225633587) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87883 + ... + 90413.

It is an arithmetic number, because the mean of its divisors is an integer number (6380640).

Almost surely, 2^225633588 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225633588, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306270720).

225633588 is an abundant number, since it is smaller than the sum of its proper divisors (386907852).

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

225633588 is a wasteful number, since it uses less digits than its factorization.

225633588 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2597 (or 2595 counting only the distinct ones).

The product of its digits is 345600, while the sum is 42.

The square root of 225633588 is about 15021.1047529801. The cubic root of 225633588 is about 608.7905697291.

The spelling of 225633588 in words is "two hundred twenty-five million, six hundred thirty-three thousand, five hundred eighty-eight".