225151200 has 108 divisors (see below), whose sum is σ = 793964808. Its totient is φ = 60038400.

The previous prime is 225151193. The next prime is 225151211. The reversal of 225151200 is 2151522.

225151200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×225151200² = 101386125722880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8436 + ... + 22835.

It is an arithmetic number, because the mean of its divisors is an integer number (7351526).

Almost surely, 2^225151200 is an apocalyptic number.

225151200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225151200 is an abundant number, since it is smaller than the sum of its proper divisors (568813608).

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

225151200 is a wasteful number, since it uses less digits than its factorization.

225151200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31297 (or 31281 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 225151200 is about 15005.0391535644. The cubic root of 225151200 is about 608.3564103754.

The spelling of 225151200 in words is "two hundred twenty-five million, one hundred fifty-one thousand, two hundred".