10002225600 has 168 divisors, whose sum is σ = 36461974320. Its totient is φ = 2667248640.

The previous prime is 10002225593. The next prime is 10002225641. The reversal of 10002225600 is 652220001.

10002225600 is a `hidden beast` number, since 100 + 0 + 2 + 2 + 2 + 560 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72567 + ... + 158966.

Almost surely, 2^10002225600 is an apocalyptic number.

10002225600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10002225600 is an abundant number, since it is smaller than the sum of its proper divisors (26459748720).

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

10002225600 is a wasteful number, since it uses less digits than its factorization.

10002225600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231564 (or 231543 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 10002225600 its reverse (652220001), we get a palindrome (10654445601).

The spelling of 10002225600 in words is "ten billion, two million, two hundred twenty-five thousand, six hundred".