225567600 has 60 divisors (see below), whose sum is σ = 722572056. Its totient is φ = 60151040.

The previous prime is 225567571. The next prime is 225567653. The reversal of 225567600 is 6765522.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92787 + ... + 95186.

Almost surely, 2^225567600 is an apocalyptic number.

225567600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225567600 is an abundant number, since it is smaller than the sum of its proper divisors (497004456).

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

225567600 is a wasteful number, since it uses less digits than its factorization.

225567600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187994 (or 187983 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 225567600 is about 15018.9080828135. The cubic root of 225567600 is about 608.7312156979.

The spelling of 225567600 in words is "two hundred twenty-five million, five hundred sixty-seven thousand, six hundred".