22310032000 has 128 divisors (see below), whose sum is σ = 56517037200. Its totient is φ = 8755302400.

The previous prime is 22310031983. The next prime is 22310032033. The reversal of 22310032000 is 23001322.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 47004736 + 22263027264 = 6856^2 + 149208^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×22310032000³ (a number of 32 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 834846 + ... + 861154.

Almost surely, 2^22310032000 is an apocalyptic number.

22310032000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22310032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28258518600).

22310032000 is an abundant number, since it is smaller than the sum of its proper divisors (34207005200).

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

22310032000 is an equidigital number, since it uses as much as digits as its factorization.

22310032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26391 (or 26369 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 22310032000 its reverse (23001322), we get a palindrome (22333033322).

The spelling of 22310032000 in words is "twenty-two billion, three hundred ten million, thirty-two thousand".