199913200 has 60 divisors (see below), whose sum is σ = 508561200. Its totient is φ = 75258880.

The previous prime is 199913173. The next prime is 199913221. The reversal of 199913200 is 2319991.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 7900 + ... + 21499.

It is an arithmetic number, because the mean of its divisors is an integer number (8476020).

Almost surely, 2^199913200 is an apocalyptic number.

199913200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

199913200 is an abundant number, since it is smaller than the sum of its proper divisors (308648000).

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

199913200 is a wasteful number, since it uses less digits than its factorization.

199913200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29434 (or 29423 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 34.

The square root of 199913200 is about 14139.0664472588. The cubic root of 199913200 is about 584.7189338207.

The spelling of 199913200 in words is "one hundred ninety-nine million, nine hundred thirteen thousand, two hundred".