225668256 has 96 divisors (see below), whose sum is σ = 668606400. Its totient is φ = 66017280.

The previous prime is 225668237. The next prime is 225668273. The reversal of 225668256 is 652866522.

225668256 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 (96).

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, 26940 + ... + 34308.

It is an arithmetic number, because the mean of its divisors is an integer number (6964650).

Almost surely, 2^225668256 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 225668256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334303200).

225668256 is an abundant number, since it is smaller than the sum of its proper divisors (442938144).

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

225668256 is a wasteful number, since it uses less digits than its factorization.

225668256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7422 (or 7414 counting only the distinct ones).

The product of its digits is 345600, while the sum is 42.

The square root of 225668256 is about 15022.2586850314. The cubic root of 225668256 is about 608.8217478157.

The spelling of 225668256 in words is "two hundred twenty-five million, six hundred sixty-eight thousand, two hundred fifty-six".