22693020800 has 72 divisors (see below), whose sum is σ = 56079911865. Its totient is φ = 9073799680.

The previous prime is 22693020703. The next prime is 22693020821. The reversal of 22693020800 is 802039622.

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 22239160384 + 453860416 = 149128^2 + 21304^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=106520.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8520269 + ... + 8522931.

Almost surely, 2^22693020800 is an apocalyptic number.

22693020800 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 22693020800

22693020800 is an abundant number, since it is smaller than the sum of its proper divisors (33386891065).

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

22693020800 is an frugal number, since it uses more digits than its factorization.

22693020800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5350 (or 2670 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

Multiplying 22693020800 by its sum of digits (32), we get a square (726176665600 = 852160²).

22693020800 divided by its sum of digits (32) gives a square (709156900 = 26630²).

Multiplying 22693020800 by its product of nonzero digits (10368), we get a square (235281239654400 = 15338880²).

The spelling of 22693020800 in words is "twenty-two billion, six hundred ninety-three million, twenty thousand, eight hundred".