199231920 has 80 divisors (see below), whose sum is σ = 686250720. Its totient is φ = 53127936.

The previous prime is 199231913. The next prime is 199231927. The reversal of 199231920 is 29132991.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (199231913) and next prime (199231927).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (199231927) by changing a digit.

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, 43959 + ... + 48278.

It is an arithmetic number, because the mean of its divisors is an integer number (8578134).

Almost surely, 2^199231920 is an apocalyptic number.

199231920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

199231920 is an abundant number, since it is smaller than the sum of its proper divisors (487018800).

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

199231920 is a wasteful number, since it uses less digits than its factorization.

199231920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92259 (or 92247 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The square root of 199231920 is about 14114.9537725067. The cubic root of 199231920 is about 584.0539607361.

The spelling of 199231920 in words is "one hundred ninety-nine million, two hundred thirty-one thousand, nine hundred twenty".