225282504 has 64 divisors (see below), whose sum is σ = 610251840. Its totient is φ = 69027840.

The previous prime is 225282481. The next prime is 225282509. The reversal of 225282504 is 405282522.

225282504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (225282509) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11124 + ... + 23964.

It is an arithmetic number, because the mean of its divisors is an integer number (9535185).

Almost surely, 2^225282504 is an apocalyptic number.

225282504 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 225282504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305125920).

225282504 is an abundant number, since it is smaller than the sum of its proper divisors (384969336).

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

225282504 is a wasteful number, since it uses less digits than its factorization.

225282504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12910 (or 12906 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

The square root of 225282504 is about 15009.4138459835. The cubic root of 225282504 is about 608.4746481152.

The spelling of 225282504 in words is "two hundred twenty-five million, two hundred eighty-two thousand, five hundred four".