22233772800 has 324 divisors, whose sum is σ = 80091462360. Its totient is φ = 5884231680.

The previous prime is 22233772747. The next prime is 22233772801. The reversal of 22233772800 is 827733222.

22233772800 is a `hidden beast` number, since 2 + 2 + 2 + 3 + 377 + 280 + 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 (22233772801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8005012 + ... + 8007788.

Almost surely, 2^22233772800 is an apocalyptic number.

22233772800 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 22233772800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40045731180).

22233772800 is an abundant number, since it is smaller than the sum of its proper divisors (57857689560).

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

22233772800 is a wasteful number, since it uses less digits than its factorization.

22233772800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2948 (or 2926 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 22233772800 in words is "twenty-two billion, two hundred thirty-three million, seven hundred seventy-two thousand, eight hundred".