199380200 has 48 divisors (see below), whose sum is σ = 469464000. Its totient is φ = 78736320.

The previous prime is 199380187. The next prime is 199380211. The reversal of 199380200 is 2083991.

199380200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9491 + ... + 22109.

It is an arithmetic number, because the mean of its divisors is an integer number (9780500).

Almost surely, 2^199380200 is an apocalyptic number.

199380200 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 199380200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234732000).

199380200 is an abundant number, since it is smaller than the sum of its proper divisors (270083800).

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

199380200 is a wasteful number, since it uses less digits than its factorization.

199380200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12714 (or 12705 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 32.

The square root of 199380200 is about 14120.2053809426. The cubic root of 199380200 is about 584.1988204638.

The spelling of 199380200 in words is "one hundred ninety-nine million, three hundred eighty thousand, two hundred".