22188817800 has 108 divisors (see below), whose sum is σ = 74538676485. Its totient is φ = 5915332800.

The previous prime is 22188817793. The next prime is 22188817801. The reversal of 22188817800 is 871888122.

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 21745041444 + 443776356 = 147462^2 + 21066^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=105330.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (22188817801) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 6318045 + ... + 6321555.

Almost surely, 2^22188817800 is an apocalyptic number.

22188817800 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 22188817800

22188817800 is an abundant number, since it is smaller than the sum of its proper divisors (52349858685).

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

22188817800 is an equidigital number, since it uses as much as digits as its factorization.

22188817800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7044 (or 3521 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 45.

The spelling of 22188817800 in words is "twenty-two billion, one hundred eighty-eight million, eight hundred seventeen thousand, eight hundred".