225120192 has 56 divisors (see below), whose sum is σ = 649784832. Its totient is φ = 68217600.

The previous prime is 225120191. The next prime is 225120211. The reversal of 225120192 is 291021522.

225120192 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 2×225120192² = 101358201692233728, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225120191) 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, 51184 + ... + 55407.

Almost surely, 2^225120192 is an apocalyptic number.

225120192 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

225120192 is an abundant number, since it is smaller than the sum of its proper divisors (424664640).

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

225120192 is a wasteful number, since it uses less digits than its factorization.

225120192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106617 (or 106607 counting only the distinct ones).

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

The square root of 225120192 is about 15004.0058651015. The cubic root of 225120192 is about 608.3284813191.

The spelling of 225120192 in words is "two hundred twenty-five million, one hundred twenty thousand, one hundred ninety-two".