225924080 has 40 divisors (see below), whose sum is σ = 530202672. Its totient is φ = 89521664.

The previous prime is 225924077. The next prime is 225924137. The reversal of 225924080 is 80429522.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4637 + ... + 21756.

Almost surely, 2^225924080 is an apocalyptic number.

225924080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225924080 is an abundant number, since it is smaller than the sum of its proper divisors (304278592).

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

225924080 is a wasteful number, since it uses less digits than its factorization.

225924080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26513 (or 26507 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 225924080 is about 15030.7711046373. The cubic root of 225924080 is about 609.0517201948.

The spelling of 225924080 in words is "two hundred twenty-five million, nine hundred twenty-four thousand, eighty".