199656192 has 144 divisors (see below), whose sum is σ = 565125120. Its totient is φ = 62447616.

The previous prime is 199656173. The next prime is 199656203. The reversal of 199656192 is 291656991.

199656192 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1572033 + ... + 1572159.

It is an arithmetic number, because the mean of its divisors is an integer number (3924480).

Almost surely, 2^199656192 is an apocalyptic number.

199656192 is a gapful number since it is divisible by the number (12) 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 199656192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282562560).

199656192 is an abundant number, since it is smaller than the sum of its proper divisors (365468928).

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

199656192 is a wasteful number, since it uses less digits than its factorization.

199656192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 244 counting only the distinct ones).

The product of its digits is 262440, while the sum is 48.

The square root of 199656192 is about 14129.9749468992. The cubic root of 199656192 is about 584.4682552119.

The spelling of 199656192 in words is "one hundred ninety-nine million, six hundred fifty-six thousand, one hundred ninety-two".