225264024 has 64 divisors (see below), whose sum is σ = 652953600. Its totient is φ = 71821728.

The previous prime is 225264007. The next prime is 225264079. The reversal of 225264024 is 420462522.

It is a happy number.

225264024 is a `hidden beast` number, since 2 + 252 + 6 + 402 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 15 ways as a sum of consecutive naturals, for example, 17704 + ... + 27639.

It is an arithmetic number, because the mean of its divisors is an integer number (10202400).

Almost surely, 2^225264024 is an apocalyptic number.

225264024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

225264024 is an abundant number, since it is smaller than the sum of its proper divisors (427689576).

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

225264024 is a wasteful number, since it uses less digits than its factorization.

225264024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45381 (or 45371 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 225264024 is about 15008.7982197110. The cubic root of 225264024 is about 608.4580098665.

The spelling of 225264024 in words is "two hundred twenty-five million, two hundred sixty-four thousand, twenty-four".