225556800 has 336 divisors, whose sum is σ = 869289600. Its totient is φ = 51179520.

The previous prime is 225556783. The next prime is 225556811. The reversal of 225556800 is 8655522.

225556800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1646332 + ... + 1646468.

Almost surely, 2^225556800 is an apocalyptic number.

225556800 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 225556800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434644800).

225556800 is an abundant number, since it is smaller than the sum of its proper divisors (643732800).

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

225556800 is a wasteful number, since it uses less digits than its factorization.

225556800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

The square root of 225556800 is about 15018.5485317324. The cubic root of 225556800 is about 608.7215003516.

The spelling of 225556800 in words is "two hundred twenty-five million, five hundred fifty-six thousand, eight hundred".