225824256 has 120 divisors (see below), whose sum is σ = 744956784. Its totient is φ = 64512000.

The previous prime is 225824197. The next prime is 225824267. The reversal of 225824256 is 652428522.

225824256 is a `hidden beast` number, since 22 + 582 + 4 + 2 + 56 = 666.

225824256 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 225824256.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 28756 + ... + 35756.

Almost surely, 2^225824256 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 225824256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372478392).

225824256 is an abundant number, since it is smaller than the sum of its proper divisors (519132528).

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

225824256 is an equidigital number, since it uses as much as digits as its factorization.

225824256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7032 (or 7013 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

The square root of 225824256 is about 15027.4500830979. The cubic root of 225824256 is about 608.9620043109.

The spelling of 225824256 in words is "two hundred twenty-five million, eight hundred twenty-four thousand, two hundred fifty-six".