225751200 has 72 divisors (see below), whose sum is σ = 734827968. Its totient is φ = 60199680.

The previous prime is 225751189. The next prime is 225751219. The reversal of 225751200 is 2157522.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44632 + ... + 49431.

It is an arithmetic number, because the mean of its divisors is an integer number (10205944).

Almost surely, 2^225751200 is an apocalyptic number.

225751200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225751200 is an abundant number, since it is smaller than the sum of its proper divisors (509076768).

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

225751200 is a wasteful number, since it uses less digits than its factorization.

225751200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94086 (or 94073 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 225751200 is about 15025.0191347632. The cubic root of 225751200 is about 608.8963291596.

The spelling of 225751200 in words is "two hundred twenty-five million, seven hundred fifty-one thousand, two hundred".