199983712 has 96 divisors (see below), whose sum is σ = 431101440. Its totient is φ = 91069440.

The previous prime is 199983709. The next prime is 199983727. The reversal of 199983712 is 217389991.

199983712 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2246964 + ... + 2247052.

It is an arithmetic number, because the mean of its divisors is an integer number (4490640).

Almost surely, 2^199983712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199983712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215550720).

199983712 is an abundant number, since it is smaller than the sum of its proper divisors (231117728).

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

199983712 is a wasteful number, since it uses less digits than its factorization.

199983712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 228 counting only the distinct ones).

The product of its digits is 244944, while the sum is 49.

The square root of 199983712 is about 14141.5597442432. The cubic root of 199983712 is about 584.7876717446.

The spelling of 199983712 in words is "one hundred ninety-nine million, nine hundred eighty-three thousand, seven hundred twelve".