225475200 has 144 divisors (see below), whose sum is σ = 804649950. Its totient is φ = 60119040.

The previous prime is 225475193. The next prime is 225475219. The reversal of 225475200 is 2574522.

225475200 is digitally balanced in base 3, 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 3 ways, for example, as 122412096 + 103063104 = 11064^2 + 10152^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 24886 + ... + 32714.

Almost surely, 2^225475200 is an apocalyptic number.

225475200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225475200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402324975).

225475200 is an abundant number, since it is smaller than the sum of its proper divisors (579174750).

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

225475200 is a wasteful number, since it uses less digits than its factorization.

225475200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7859 (or 7839 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 225475200 is about 15015.8316453002. The cubic root of 225475200 is about 608.6480854874.

The spelling of 225475200 in words is "two hundred twenty-five million, four hundred seventy-five thousand, two hundred".