225563107600 has 30 divisors (see below), whose sum is σ = 541915366970. Its totient is φ = 90225242880.

The previous prime is 225563107577. The next prime is 225563107619. The reversal of 225563107600 is 6701365522.

225563107600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 989479936 + 224573627664 = 31456^2 + 473892^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 225563107600.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 281953485 + ... + 281954284.

Almost surely, 2^225563107600 is an apocalyptic number.

225563107600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225563107600 is an abundant number, since it is smaller than the sum of its proper divisors (316352259370).

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

225563107600 is a wasteful number, since it uses less digits than its factorization.

225563107600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563907787 (or 563907776 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 37.

The spelling of 225563107600 in words is "two hundred twenty-five billion, five hundred sixty-three million, one hundred seven thousand, six hundred".