225924288 has 112 divisors (see below), whose sum is σ = 666414720. Its totient is φ = 67129344.

The previous prime is 225924233. The next prime is 225924289. The reversal of 225924288 is 882429522.

225924288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225924289) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60195 + ... + 63837.

Almost surely, 2^225924288 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 225924288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333207360).

225924288 is an abundant number, since it is smaller than the sum of its proper divisors (440490432).

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

225924288 is a wasteful number, since it uses less digits than its factorization.

225924288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3694 (or 3684 counting only the distinct ones).

The product of its digits is 184320, while the sum is 42.

The square root of 225924288 is about 15030.7780237751. The cubic root of 225924288 is about 609.0519071052.

The spelling of 225924288 in words is "two hundred twenty-five million, nine hundred twenty-four thousand, two hundred eighty-eight".