199952232200 has 108 divisors (see below), whose sum is σ = 540908924535. Its totient is φ = 68539873920.

The previous prime is 199952232197. The next prime is 199952232203. The reversal of 199952232200 is 2232259991.

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 is an interprime number because it is at equal distance from previous prime (199952232197) and next prime (199952232203).

It can be written as a sum of positive squares in 5 ways, for example, as 1237773124 + 198714459076 = 35182^2 + 445774^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=316190.

It is not an unprimeable number, because it can be changed into a prime (199952232203) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 44264342 + ... + 44268858.

Almost surely, 2^199952232200 is an apocalyptic number.

199952232200 is a gapful number since it is divisible by the number (10) 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 199952232200

199952232200 is an abundant number, since it is smaller than the sum of its proper divisors (340956692335).

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

199952232200 is an frugal number, since it uses more digits than its factorization.

199952232200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9064 (or 4531 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 44.

The spelling of 199952232200 in words is "one hundred ninety-nine billion, nine hundred fifty-two million, two hundred thirty-two thousand, two hundred".