225360936 has 96 divisors (see below), whose sum is σ = 632792160. Its totient is φ = 72406656.

The previous prime is 225360913. The next prime is 225360953. The reversal of 225360936 is 639063522.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 225360936.

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, 256530 + ... + 257406.

It is an arithmetic number, because the mean of its divisors is an integer number (6591585).

Almost surely, 2^225360936 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 225360936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316396080).

225360936 is an abundant number, since it is smaller than the sum of its proper divisors (407431224).

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

225360936 is a wasteful number, since it uses less digits than its factorization.

225360936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1015 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 225360936 is about 15012.0263788737. The cubic root of 225360936 is about 608.5452533116.

The spelling of 225360936 in words is "two hundred twenty-five million, three hundred sixty thousand, nine hundred thirty-six".