225228608640 has 256 divisors, whose sum is σ = 911640096000. Its totient is φ = 51480797184.

The previous prime is 225228608621. The next prime is 225228608651. The reversal of 225228608640 is 46806822522.

225228608640 is a `hidden beast` number, since 2 + 2 + 522 + 8 + 6 + 0 + 86 + 40 = 666.

It is a super-2 number, since 2×225228608640² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 810045 + ... + 1051964.

It is an arithmetic number, because the mean of its divisors is an integer number (3561094125).

Almost surely, 2^225228608640 is an apocalyptic number.

225228608640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225228608640 is an abundant number, since it is smaller than the sum of its proper divisors (686411487360).

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

225228608640 is a wasteful number, since it uses less digits than its factorization.

225228608640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1862044 (or 1862026 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 225228608640 in words is "two hundred twenty-five billion, two hundred twenty-eight million, six hundred eight thousand, six hundred forty".