225121920 has 64 divisors (see below), whose sum is σ = 717582240. Its totient is φ = 60032000.

The previous prime is 225121913. The next prime is 225121927. The reversal of 225121920 is 29121522.

225121920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (225121913) and next prime (225121927).

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (225121927) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56706 + ... + 60545.

Almost surely, 2^225121920 is an apocalyptic number.

225121920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225121920 is an abundant number, since it is smaller than the sum of its proper divisors (492460320).

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

225121920 is a wasteful number, since it uses less digits than its factorization.

225121920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117273 (or 117261 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 225121920 is about 15004.0634496126. The cubic root of 225121920 is about 608.3300378045.

The spelling of 225121920 in words is "two hundred twenty-five million, one hundred twenty-one thousand, nine hundred twenty".