225752000 has 56 divisors (see below), whose sum is σ = 559094640. Its totient is φ = 90297600.

The previous prime is 225751997. The next prime is 225752017. The reversal of 225752000 is 257522.

225752000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6110 + ... + 22109.

Almost surely, 2^225752000 is an apocalyptic number.

225752000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225752000 is an abundant number, since it is smaller than the sum of its proper divisors (333342640).

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

225752000 is an equidigital number, since it uses as much as digits as its factorization.

225752000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28246 (or 28226 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 23.

The square root of 225752000 is about 15025.0457570019. The cubic root of 225752000 is about 608.8970484124.

The spelling of 225752000 in words is "two hundred twenty-five million, seven hundred fifty-two thousand".