199232 has 28 divisors (see below), whose sum is σ = 432816. Its totient is φ = 90240.

The previous prime is 199211. The next prime is 199247. The reversal of 199232 is 232991.

199232 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 199232.

It is an unprimeable number.

199232 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 563 + ... + 845.

2¹⁹⁹²³² 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 199232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216408).

199232 is an abundant number, since it is smaller than the sum of its proper divisors (233584).

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

199232 is a wasteful number, since it uses less digits than its factorization.

199232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 296 counting only the distinct ones).

The product of its digits is 972, while the sum is 26.

The square root of 199232 is about 446.3541195060. The cubic root of 199232 is about 58.4054038910.

The spelling of 199232 in words is "one hundred ninety-nine thousand, two hundred thirty-two".