22268940800 has 90 divisors (see below), whose sum is σ = 55214901753. Its totient is φ = 8900823040.

The previous prime is 22268940769. The next prime is 22268940829. The reversal of 22268940800 is 804986222.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 21823561984 + 445378816 = 147728^2 + 21104^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=105520.

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 16882541 + ... + 16883859.

Almost surely, 2^22268940800 is an apocalyptic number.

22268940800 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 22268940800

22268940800 is an abundant number, since it is smaller than the sum of its proper divisors (32945960953).

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

22268940800 is an frugal number, since it uses more digits than its factorization.

22268940800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2666 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 41.

The spelling of 22268940800 in words is "twenty-two billion, two hundred sixty-eight million, nine hundred forty thousand, eight hundred".