225768320 has 64 divisors (see below), whose sum is σ = 548670240. Its totient is φ = 88811520.

The previous prime is 225768311. The next prime is 225768331. The reversal of 225768320 is 23867522.

225768320 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 (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36149 + ... + 41931.

Almost surely, 2^225768320 is an apocalyptic number.

225768320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225768320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274335120).

225768320 is an abundant number, since it is smaller than the sum of its proper divisors (322901920).

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

225768320 is an equidigital number, since it uses as much as digits as its factorization.

225768320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5863 (or 5851 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 225768320 is about 15025.5888403749. The cubic root of 225768320 is about 608.9117207968.

The spelling of 225768320 in words is "two hundred twenty-five million, seven hundred sixty-eight thousand, three hundred twenty".