22680240200 has 108 divisors (see below), whose sum is σ = 55243231785. Its totient is φ = 8658914880.

The previous prime is 22680240197. The next prime is 22680240229. The reversal of 22680240200 is 204208622.

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 2 ways, for example, as 22226635396 + 453604804 = 149086^2 + 21298^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=106490.

It is a self number, because there is not a number n which added to its sum of digits gives 22680240200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 48985169 + ... + 48985631.

Almost surely, 2^22680240200 is an apocalyptic number.

22680240200 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 22680240200

22680240200 is an abundant number, since it is smaller than the sum of its proper divisors (32562991585).

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

22680240200 is an equidigital number, since it uses as much as digits as its factorization.

22680240200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 22680240200 its reverse (204208622), we get a palindrome (22884448822).

The spelling of 22680240200 in words is "twenty-two billion, six hundred eighty million, two hundred forty thousand, two hundred".