225518960 has 20 divisors (see below), whose sum is σ = 524331768. Its totient is φ = 90207552.

The previous prime is 225518947. The next prime is 225518963. The reversal of 225518960 is 69815522.

225518960 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 (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225518963) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 1409414 + ... + 1409573.

Almost surely, 2^225518960 is an apocalyptic number.

225518960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225518960 is an abundant number, since it is smaller than the sum of its proper divisors (298812808).

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

225518960 is a wasteful number, since it uses less digits than its factorization.

225518960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2819000 (or 2818994 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 38.

The square root of 225518960 is about 15017.2887033579. The cubic root of 225518960 is about 608.6874582097.

The spelling of 225518960 in words is "two hundred twenty-five million, five hundred eighteen thousand, nine hundred sixty".