225411600 has 60 divisors (see below), whose sum is σ = 722072336. Its totient is φ = 60109440.

The previous prime is 225411583. The next prime is 225411601. The reversal of 225411600 is 6114522.

It is a tau number, because it is divible by the number of its divisors (60).

It is not an unprimeable number, because it can be changed into a prime (225411601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92722 + ... + 95121.

Almost surely, 2^225411600 is an apocalyptic number.

225411600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225411600 is an abundant number, since it is smaller than the sum of its proper divisors (496660736).

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

225411600 is a wasteful number, since it uses less digits than its factorization.

225411600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187864 (or 187853 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 225411600 is about 15013.7137311193. The cubic root of 225411600 is about 608.5908527947.

The spelling of 225411600 in words is "two hundred twenty-five million, four hundred eleven thousand, six hundred".