22532002800 has 240 divisors, whose sum is σ = 74722931712. Its totient is φ = 5797785600.

The previous prime is 22532002799. The next prime is 22532002807. The reversal of 22532002800 is 820023522.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22532002807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17371752 + ... + 17373048.

Almost surely, 2^22532002800 is an apocalyptic number.

22532002800 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 22532002800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37361465856).

22532002800 is an abundant number, since it is smaller than the sum of its proper divisors (52190928912).

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

22532002800 is a wasteful number, since it uses less digits than its factorization.

22532002800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1816 (or 1805 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The spelling of 22532002800 in words is "twenty-two billion, five hundred thirty-two million, two thousand, eight hundred".