199952352 has 72 divisors (see below), whose sum is σ = 598557960. Its totient is φ = 63141120.

The previous prime is 199952339. The next prime is 199952359. The reversal of 199952352 is 253259991.

199952352 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 199952298 and 199952307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199952359) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12799 + ... + 23742.

It is an arithmetic number, because the mean of its divisors is an integer number (8313305).

Almost surely, 2^199952352 is an apocalyptic number.

199952352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

199952352 is an abundant number, since it is smaller than the sum of its proper divisors (398605608).

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

199952352 is a wasteful number, since it uses less digits than its factorization.

199952352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36576 (or 36565 counting only the distinct ones).

The product of its digits is 218700, while the sum is 45.

The square root of 199952352 is about 14140.4509121881. The cubic root of 199952352 is about 584.7571027550.

The spelling of 199952352 in words is "one hundred ninety-nine million, nine hundred fifty-two thousand, three hundred fifty-two".