225321696 has 96 divisors (see below), whose sum is σ = 660441600. Its totient is φ = 74736000.

The previous prime is 225321673. The next prime is 225321697. The reversal of 225321696 is 696123522.

225321696 is a `hidden beast` number, since 22 + 532 + 16 + 96 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 225321696.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225321697) 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 15 ways as a sum of consecutive naturals, for example, 216345 + ... + 217383.

It is an arithmetic number, because the mean of its divisors is an integer number (6879600).

Almost surely, 2^225321696 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 225321696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330220800).

225321696 is an abundant number, since it is smaller than the sum of its proper divisors (435119904).

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

225321696 is a wasteful number, since it uses less digits than its factorization.

225321696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309 (or 1295 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 225321696 is about 15010.7193698370. The cubic root of 225321696 is about 608.5099311565.

The spelling of 225321696 in words is "two hundred twenty-five million, three hundred twenty-one thousand, six hundred ninety-six".