22224484800 has 504 divisors, whose sum is σ = 91246305696. Its totient is φ = 5025300480.

The previous prime is 22224484783. The next prime is 22224484819. The reversal of 22224484800 is 848442222.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 9776464 + ... + 9778736.

Almost surely, 2^22224484800 is an apocalyptic number.

22224484800 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 22224484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45623152848).

22224484800 is an abundant number, since it is smaller than the sum of its proper divisors (69021820896).

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

22224484800 is a wasteful number, since it uses less digits than its factorization.

22224484800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2405 (or 2387 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

The spelling of 22224484800 in words is "twenty-two billion, two hundred twenty-four million, four hundred eighty-four thousand, eight hundred".