225122520 has 64 divisors (see below), whose sum is σ = 771851520. Its totient is φ = 51456384.

The previous prime is 225122519. The next prime is 225122533. The reversal of 225122520 is 25221522.

225122520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×225122520² = 101360298022300800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 133162 + ... + 134841.

It is an arithmetic number, because the mean of its divisors is an integer number (12060180).

Almost surely, 2^225122520 is an apocalyptic number.

225122520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225122520 is an abundant number, since it is smaller than the sum of its proper divisors (546729000).

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

225122520 is a wasteful number, since it uses less digits than its factorization.

225122520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268024 (or 268020 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 225122520 is about 15004.0834441828. The cubic root of 225122520 is about 608.3305782490.

The spelling of 225122520 in words is "two hundred twenty-five million, one hundred twenty-two thousand, five hundred twenty".