225633590 has 48 divisors (see below), whose sum is σ = 502638048. Its totient is φ = 71405568.

The previous prime is 225633587. The next prime is 225633613. The reversal of 225633590 is 95336522.

It is a happy number.

225633590 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 225633590.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2294 + ... + 21366.

It is an arithmetic number, because the mean of its divisors is an integer number (10471626).

Almost surely, 2^225633590 is an apocalyptic number.

225633590 is an abundant number, since it is smaller than the sum of its proper divisors (277004458).

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

225633590 is a wasteful number, since it uses less digits than its factorization.

225633590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19113 (or 19100 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 35.

The square root of 225633590 is about 15021.1048195531. The cubic root of 225633590 is about 608.7905715278.

The spelling of 225633590 in words is "two hundred twenty-five million, six hundred thirty-three thousand, five hundred ninety".