22023892800 has 882 divisors, whose sum is σ = 98349307238. Its totient is φ = 4646799360.

The previous prime is 22023892747. The next prime is 22023892801. The reversal of 22023892800 is 829832022.

It can be written as a sum of positive squares in 3 ways, for example, as 67765824 + 21956126976 = 8232^2 + 148176^2 .

It is a tau number, because it is divible by the number of its divisors (882).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22023892801) by changing a digit.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 1694145594 + ... + 1694145606.

Almost surely, 2^22023892800 is an apocalyptic number.

22023892800 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 22023892800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49174653619).

22023892800 is an abundant number, since it is smaller than the sum of its proper divisors (76325414438).

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

22023892800 is an frugal number, since it uses more digits than its factorization.

22023892800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 22023892800 in words is "twenty-two billion, twenty-three million, eight hundred ninety-two thousand, eight hundred".