225263304 has 48 divisors (see below), whose sum is σ = 697245120. Its totient is φ = 64360800.

The previous prime is 225263293. The next prime is 225263317. The reversal of 225263304 is 403362522.

225263304 is a `hidden beast` number, since 2 + 25 + 2 + 633 + 0 + 4 = 666.

It is a super-3 number, since 3×225263304³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 222972 + ... + 223979.

It is an arithmetic number, because the mean of its divisors is an integer number (14525940).

Almost surely, 2^225263304 is an apocalyptic number.

225263304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

225263304 is an abundant number, since it is smaller than the sum of its proper divisors (471981816).

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

225263304 is a wasteful number, since it uses less digits than its factorization.

225263304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446970 (or 446963 counting only the distinct ones).

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

The square root of 225263304 is about 15008.7742337607. The cubic root of 225263304 is about 608.4573616047.

It can be divided in two parts, 2252 and 63304, that added together give a palindrome (65556).

The spelling of 225263304 in words is "two hundred twenty-five million, two hundred sixty-three thousand, three hundred four".