199773952 has 144 divisors (see below), whose sum is σ = 492129792. Its totient is φ = 79073280.

The previous prime is 199773913. The next prime is 199773979. The reversal of 199773952 is 259377991.

199773952 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 199773952.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1524927 + ... + 1525057.

It is an arithmetic number, because the mean of its divisors is an integer number (3417568).

Almost surely, 2^199773952 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 199773952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246064896).

199773952 is an abundant number, since it is smaller than the sum of its proper divisors (292355840).

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

199773952 is a wasteful number, since it uses less digits than its factorization.

199773952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 200 counting only the distinct ones).

The product of its digits is 1071630, while the sum is 52.

The square root of 199773952 is about 14134.1413605496. The cubic root of 199773952 is about 584.5831417973.

The spelling of 199773952 in words is "one hundred ninety-nine million, seven hundred seventy-three thousand, nine hundred fifty-two".