225600008007 has 32 divisors (see below), whose sum is σ = 333650145024. Its totient is φ = 134435347200.

The previous prime is 225600007993. The next prime is 225600008017. The reversal of 225600008007 is 700800006522.

It is not a de Polignac number, because 225600008007 - 2¹⁶ = 225599942471 is a prime.

It is a super-2 number, since 2×225600008007² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225600008017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5731528 + ... + 5770754.

It is an arithmetic number, because the mean of its divisors is an integer number (10426567032).

Almost surely, 2^225600008007 is an apocalyptic number.

225600008007 is a deficient number, since it is larger than the sum of its proper divisors (108050137017).

225600008007 is a wasteful number, since it uses less digits than its factorization.

225600008007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42159.

The product of its (nonzero) digits is 6720, while the sum is 30.

The spelling of 225600008007 in words is "two hundred twenty-five billion, six hundred million, eight thousand, seven".