22024807200 has 810 divisors, whose sum is σ = 89983027827. Its totient is φ = 5238604800.

The previous prime is 22024807187. The next prime is 22024807241. The reversal of 22024807200 is 270842022.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 12916777104 + 9108030096 = 113652^2 + 95436^2 .

It is a tau number, because it is divible by the number of its divisors (810).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=104940.

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

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 415562374 + ... + 415562426.

Almost surely, 2^22024807200 is an apocalyptic number.

22024807200 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 22024807200

22024807200 is an abundant number, since it is smaller than the sum of its proper divisors (67958220627).

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

22024807200 is a wasteful number, since it uses less digits than its factorization.

22024807200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The spelling of 22024807200 in words is "twenty-two billion, twenty-four million, eight hundred seven thousand, two hundred".