225326304 has 144 divisors (see below), whose sum is σ = 747583200. Its totient is φ = 64350720.

The previous prime is 225326287. The next prime is 225326351. The reversal of 225326304 is 403623522.

225326304 is a `hidden beast` number, since 2 + 25 + 3 + 2 + 630 + 4 = 666.

225326304 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 (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97644 + ... + 99924.

It is an arithmetic number, because the mean of its divisors is an integer number (5191550).

Almost surely, 2^225326304 is an apocalyptic number.

225326304 is a gapful number since it is divisible by the number (24) 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 225326304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373791600).

225326304 is an abundant number, since it is smaller than the sum of its proper divisors (522256896).

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

225326304 is a wasteful number, since it uses less digits than its factorization.

225326304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2318 (or 2293 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 225326304 is about 15010.8728593643. The cubic root of 225326304 is about 608.5140792918.

Adding to 225326304 its reverse (403623522), we get a palindrome (628949826).

The spelling of 225326304 in words is "two hundred twenty-five million, three hundred twenty-six thousand, three hundred four".