22266244800 has 756 divisors, whose sum is σ = 86041402720. Its totient is φ = 5456056320.

The previous prime is 22266244757. The next prime is 22266244801. The reversal of 22266244800 is 844266222.

22266244800 is a `hidden beast` number, since 2 + 2 + 26 + 624 + 4 + 8 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (22266244801) 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 107 ways as a sum of consecutive naturals, for example, 281851161 + ... + 281851239.

Almost surely, 2^22266244800 is an apocalyptic number.

22266244800 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 22266244800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43020701360).

22266244800 is an abundant number, since it is smaller than the sum of its proper divisors (63775157920).

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

22266244800 is a wasteful number, since it uses less digits than its factorization.

22266244800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 22266244800 in words is "twenty-two billion, two hundred sixty-six million, two hundred forty-four thousand, eight hundred".