22035944000 has 448 divisors, whose sum is σ = 67100866560. Its totient is φ = 6996787200.

The previous prime is 22035943999. The next prime is 22035944033. The reversal of 22035944000 is 44953022.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×22035944000² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 75207854 + ... + 75208146.

It is an arithmetic number, because the mean of its divisors is an integer number (149778720).

Almost surely, 2^22035944000 is an apocalyptic number.

22035944000 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 22035944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33550433280).

22035944000 is an abundant number, since it is smaller than the sum of its proper divisors (45064922560).

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

22035944000 is a wasteful number, since it uses less digits than its factorization.

22035944000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The spelling of 22035944000 in words is "twenty-two billion, thirty-five million, nine hundred forty-four thousand".