225460200 has 96 divisors (see below), whose sum is σ = 798788160. Its totient is φ = 51532800.

The previous prime is 225460163. The next prime is 225460201. The reversal of 225460200 is 2064522.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (225460201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22641 + ... + 31040.

It is an arithmetic number, because the mean of its divisors is an integer number (8320710).

Almost surely, 2^225460200 is an apocalyptic number.

225460200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225460200 is an abundant number, since it is smaller than the sum of its proper divisors (573327960).

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

225460200 is a wasteful number, since it uses less digits than its factorization.

225460200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53707 (or 53698 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 225460200 is about 15015.3321641581. The cubic root of 225460200 is about 608.6345881807.

The spelling of 225460200 in words is "two hundred twenty-five million, four hundred sixty thousand, two hundred".