225583960 has 64 divisors (see below), whose sum is σ = 610617600. Its totient is φ = 73270656.

The previous prime is 225583937. The next prime is 225584071. The reversal of 225583960 is 69385522.

It is a Harshad number since it is a multiple of its sum of digits (40).

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 15 ways as a sum of consecutive naturals, for example, 15882 + ... + 26521.

It is an arithmetic number, because the mean of its divisors is an integer number (9540900).

Almost surely, 2^225583960 is an apocalyptic number.

225583960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225583960 is an abundant number, since it is smaller than the sum of its proper divisors (385033640).

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

225583960 is a wasteful number, since it uses less digits than its factorization.

225583960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42440 (or 42436 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 40.

The square root of 225583960 is about 15019.4527197232. The cubic root of 225583960 is about 608.7459320578.

The spelling of 225583960 in words is "two hundred twenty-five million, five hundred eighty-three thousand, nine hundred sixty".