225902520 has 224 divisors, whose sum is σ = 780664320. Its totient is φ = 58786560.

The previous prime is 225902519. The next prime is 225902531. The reversal of 225902520 is 25209522.

225902520 is a `hidden beast` number, since 22 + 590 + 2 + 52 + 0 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1778697 + ... + 1778823.

Almost surely, 2^225902520 is an apocalyptic number.

225902520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225902520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390332160).

225902520 is an abundant number, since it is smaller than the sum of its proper divisors (554761800).

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

225902520 is a wasteful number, since it uses less digits than its factorization.

225902520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 225902520 is about 15030.0538921190. The cubic root of 225902520 is about 609.0323455848.

The spelling of 225902520 in words is "two hundred twenty-five million, nine hundred two thousand, five hundred twenty".