225518256 has 100 divisors (see below), whose sum is σ = 670498752. Its totient is φ = 73125504.

The previous prime is 225518231. The next prime is 225518263. The reversal of 225518256 is 652815522.

It is a happy number.

225518256 is a `hidden beast` number, since 22 + 551 + 82 + 5 + 6 = 666.

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 225518256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 45601 + ... + 50303.

Almost surely, 2^225518256 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 225518256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335249376).

225518256 is an abundant number, since it is smaller than the sum of its proper divisors (444980496).

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

225518256 is a wasteful number, since it uses less digits than its factorization.

225518256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4760 (or 4745 counting only the distinct ones).

The product of its digits is 48000, while the sum is 36.

The square root of 225518256 is about 15017.2652636890. The cubic root of 225518256 is about 608.6868248315.

The spelling of 225518256 in words is "two hundred twenty-five million, five hundred eighteen thousand, two hundred fifty-six".