225282304 has 72 divisors (see below), whose sum is σ = 488761280. Its totient is φ = 103016448.

The previous prime is 225282287. The next prime is 225282313. The reversal of 225282304 is 403282522.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 462349 + ... + 462835.

Almost surely, 2^225282304 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 225282304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244380640).

225282304 is an abundant number, since it is smaller than the sum of its proper divisors (263478976).

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

225282304 is a wasteful number, since it uses less digits than its factorization.

225282304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 225282304 is about 15009.4071834966. The cubic root of 225282304 is about 608.4744680525.

The spelling of 225282304 in words is "two hundred twenty-five million, two hundred eighty-two thousand, three hundred four".