225267520 has 112 divisors (see below), whose sum is σ = 566489088. Its totient is φ = 85155840.

The previous prime is 225267509. The next prime is 225267541. The reversal of 225267520 is 25762522.

225267520 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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 934600 + ... + 934840.

Almost surely, 2^225267520 is an apocalyptic number.

225267520 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 225267520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283244544).

225267520 is an abundant number, since it is smaller than the sum of its proper divisors (341221568).

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

225267520 is a wasteful number, since it uses less digits than its factorization.

225267520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 31.

The square root of 225267520 is about 15008.9146842801. The cubic root of 225267520 is about 608.4611575184.

The spelling of 225267520 in words is "two hundred twenty-five million, two hundred sixty-seven thousand, five hundred twenty".