199023221800 has 72 divisors (see below), whose sum is σ = 501061654890. Its totient is φ = 73485484800.

The previous prime is 199023221743. The next prime is 199023221801. The reversal of 199023221800 is 8122320991.

199023221800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 9 ways, for example, as 47837563524 + 151185658276 = 218718^2 + 388826^2 .

It is a super-2 number, since 2×199023221800² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 199023221800.

It is not an unprimeable number, because it can be changed into a prime (199023221801) 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 17 ways as a sum of consecutive naturals, for example, 2910331 + ... + 2977930.

Almost surely, 2^199023221800 is an apocalyptic number.

199023221800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

199023221800 is an abundant number, since it is smaller than the sum of its proper divisors (302038433090).

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

199023221800 is a wasteful number, since it uses less digits than its factorization.

199023221800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5888303 (or 5888281 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 37.

The spelling of 199023221800 in words is "one hundred ninety-nine billion, twenty-three million, two hundred twenty-one thousand, eight hundred".