225992320 has 64 divisors (see below), whose sum is σ = 542672640. Its totient is φ = 89994240.

The previous prime is 225992311. The next prime is 225992321. The reversal of 225992320 is 23299522.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (225992321) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 172789 + ... + 174091.

It is an arithmetic number, because the mean of its divisors is an integer number (8479260).

Almost surely, 2^225992320 is an apocalyptic number.

225992320 is a gapful number since it is divisible by the number (20) 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 225992320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271336320).

225992320 is an abundant number, since it is smaller than the sum of its proper divisors (316680320).

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

225992320 is a wasteful number, since it uses less digits than its factorization.

225992320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1593 (or 1581 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 34.

The square root of 225992320 is about 15033.0409432024. The cubic root of 225992320 is about 609.1130350482.

The spelling of 225992320 in words is "two hundred twenty-five million, nine hundred ninety-two thousand, three hundred twenty".