225024700680 has 96 divisors (see below), whose sum is σ = 787586468760. Its totient is φ = 55390694400.

The previous prime is 225024700669. The next prime is 225024700687. The reversal of 225024700680 is 86007420522.

225024700680 is a `hidden beast` number, since 2 + 2 + 502 + 4 + 70 + 0 + 6 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 193228818084 + 31795882596 = 439578^2 + 178314^2 .

It is a super-2 number, since 2×225024700680² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (225024700687) 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 23 ways as a sum of consecutive naturals, for example, 24036421 + ... + 24045780.

Almost surely, 2^225024700680 is an apocalyptic number.

225024700680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225024700680 is an abundant number, since it is smaller than the sum of its proper divisors (562561768080).

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

225024700680 is a wasteful number, since it uses less digits than its factorization.

225024700680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48082231 (or 48082224 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 225024700680 in words is "two hundred twenty-five billion, twenty-four million, seven hundred thousand, six hundred eighty".