225976320 has 168 divisors, whose sum is σ = 784614636. Its totient is φ = 60162048.

The previous prime is 225976199. The next prime is 225976321. The reversal of 225976320 is 23679522.

225976320 is a `hidden beast` number, since 2 + 2 + 597 + 63 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 185831424 + 40144896 = 13632^2 + 6336^2 .

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

It is not an unprimeable number, because it can be changed into a prime (225976321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 368334 + ... + 368946.

Almost surely, 2^225976320 is an apocalyptic number.

225976320 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 225976320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392307318).

225976320 is an abundant number, since it is smaller than the sum of its proper divisors (558638316).

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

225976320 is an equidigital number, since it uses as much as digits as its factorization.

225976320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 225976320 is about 15032.5087726567. The cubic root of 225976320 is about 609.0986598715.

The spelling of 225976320 in words is "two hundred twenty-five million, nine hundred seventy-six thousand, three hundred twenty".