225559680 has 128 divisors (see below), whose sum is σ = 743947200. Its totient is φ = 58060800.

The previous prime is 225559669. The next prime is 225559703. The reversal of 225559680 is 86955522.

225559680 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 (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53655 + ... + 57705.

Almost surely, 2^225559680 is an apocalyptic number.

225559680 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 225559680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371973600).

225559680 is an abundant number, since it is smaller than the sum of its proper divisors (518387520).

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

225559680 is a wasteful number, since it uses less digits than its factorization.

225559680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4102 (or 4090 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 42.

The square root of 225559680 is about 15018.6444128623. The cubic root of 225559680 is about 608.7240911410.

The spelling of 225559680 in words is "two hundred twenty-five million, five hundred fifty-nine thousand, six hundred eighty".