225151968 has 96 divisors (see below), whose sum is σ = 623137536. Its totient is φ = 71042048.

The previous prime is 225151937. The next prime is 225152009. The reversal of 225151968 is 869151522.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 235780 + ... + 236732.

It is an arithmetic number, because the mean of its divisors is an integer number (6491016).

Almost surely, 2^225151968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225151968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311568768).

225151968 is an abundant number, since it is smaller than the sum of its proper divisors (397985568).

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

225151968 is a wasteful number, since it uses less digits than its factorization.

225151968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1096 (or 1088 counting only the distinct ones).

The product of its digits is 43200, while the sum is 39.

The square root of 225151968 is about 15005.0647449453. The cubic root of 225151968 is about 608.3571020842.

The spelling of 225151968 in words is "two hundred twenty-five million, one hundred fifty-one thousand, nine hundred sixty-eight".