225607234720 has 192 divisors, whose sum is σ = 630858412800. Its totient is φ = 76195316736.

The previous prime is 225607234717. The next prime is 225607234733. The reversal of 225607234720 is 27432706522.

It is a Harshad number since it is a multiple of its sum of digits (40).

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 31 ways as a sum of consecutive naturals, for example, 3646282 + ... + 3707638.

It is an arithmetic number, because the mean of its divisors is an integer number (3285720900).

Almost surely, 2^225607234720 is an apocalyptic number.

225607234720 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 225607234720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315429206400).

225607234720 is an abundant number, since it is smaller than the sum of its proper divisors (405251178080).

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

225607234720 is an equidigital number, since it uses as much as digits as its factorization.

225607234720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61460 (or 61438 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 40.

The spelling of 225607234720 in words is "two hundred twenty-five billion, six hundred seven million, two hundred thirty-four thousand, seven hundred twenty".