22538023200 has 720 divisors, whose sum is σ = 102495564864. Its totient is φ = 4682188800.

The previous prime is 22538023181. The next prime is 22538023201. The reversal of 22538023200 is 232083522.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (22538023201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4987342 + ... + 4991858.

Almost surely, 2^22538023200 is an apocalyptic number.

22538023200 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 22538023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51247782432).

22538023200 is an abundant number, since it is smaller than the sum of its proper divisors (79957541664).

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

22538023200 is a wasteful number, since it uses less digits than its factorization.

22538023200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4567 (or 4545 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 22538023200 in words is "twenty-two billion, five hundred thirty-eight million, twenty-three thousand, two hundred".