225537360 has 40 divisors (see below), whose sum is σ = 699166560. Its totient is φ = 60143232.

The previous prime is 225537331. The next prime is 225537371. The reversal of 225537360 is 63735522.

225537360 is digitally balanced in base 2, 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 (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 469630 + ... + 470109.

It is an arithmetic number, because the mean of its divisors is an integer number (17479164).

Almost surely, 2^225537360 is an apocalyptic number.

225537360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225537360 is an abundant number, since it is smaller than the sum of its proper divisors (473629200).

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

225537360 is a wasteful number, since it uses less digits than its factorization.

225537360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 939755 (or 939749 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 33.

The square root of 225537360 is about 15017.9013180937. The cubic root of 225537360 is about 608.7040119467.

The spelling of 225537360 in words is "two hundred twenty-five million, five hundred thirty-seven thousand, three hundred sixty".