199993164 has 144 divisors (see below), whose sum is σ = 585312000. Its totient is φ = 51916032.

The previous prime is 199993159. The next prime is 199993187. The reversal of 199993164 is 461399991.

199993164 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

199993164 is strictly pandigital in base 9.

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 47 ways as a sum of consecutive naturals, for example, 1342162 + ... + 1342310.

Almost surely, 2^199993164 is an apocalyptic number.

199993164 is a gapful number since it is divisible by the number (14) 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 199993164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292656000).

199993164 is an abundant number, since it is smaller than the sum of its proper divisors (385318836).

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

199993164 is a wasteful number, since it uses less digits than its factorization.

199993164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 209 counting only the distinct ones).

The product of its digits is 472392, while the sum is 51.

The square root of 199993164 is about 14141.8939325679. The cubic root of 199993164 is about 584.7968847049.

The spelling of 199993164 in words is "one hundred ninety-nine million, nine hundred ninety-three thousand, one hundred sixty-four".