225832000 has 56 divisors (see below), whose sum is σ = 559292760. Its totient is φ = 90329600.

The previous prime is 225831973. The next prime is 225832003. The reversal of 225832000 is 238522.

225832000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 58491904 + 167340096 = 7648^2 + 12936^2 .

It is not an unprimeable number, because it can be changed into a prime (225832003) 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, 6115 + ... + 22114.

Almost surely, 2^225832000 is an apocalyptic number.

225832000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225832000 is an abundant number, since it is smaller than the sum of its proper divisors (333460760).

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

225832000 is an equidigital number, since it uses as much as digits as its factorization.

225832000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28256 (or 28236 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 225832000 is about 15027.7077426998. The cubic root of 225832000 is about 608.9689651041.

The spelling of 225832000 in words is "two hundred twenty-five million, eight hundred thirty-two thousand".