90000812200 has 48 divisors (see below), whose sum is σ = 225348193980. Its totient is φ = 33231068160.

The previous prime is 90000812189. The next prime is 90000812263. The reversal of 90000812200 is 221800009.

It can be written as a sum of positive squares in 6 ways, for example, as 31650544836 + 58350267364 = 177906^2 + 241558^2 .

It is a super-3 number, since 3×90000812200³ (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17305249 + ... + 17310448.

Almost surely, 2^90000812200 is an apocalyptic number.

It is an amenable number.

90000812200 is an abundant number, since it is smaller than the sum of its proper divisors (135347381780).

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

90000812200 is a wasteful number, since it uses less digits than its factorization.

90000812200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34615726 (or 34615717 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The spelling of 90000812200 in words is "ninety billion, eight hundred twelve thousand, two hundred".