199514952 has 192 divisors, whose sum is σ = 683854080. Its totient is φ = 51134976.

The previous prime is 199514951. The next prime is 199514963. The reversal of 199514952 is 259415991.

199514952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 199514898 and 199514907.

It is not an unprimeable number, because it can be changed into a prime (199514951) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 242013 + ... + 242835.

It is an arithmetic number, because the mean of its divisors is an integer number (3561740).

Almost surely, 2^199514952 is an apocalyptic number.

199514952 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 199514952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341927040).

199514952 is an abundant number, since it is smaller than the sum of its proper divisors (484339128).

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

199514952 is a wasteful number, since it uses less digits than its factorization.

199514952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892 (or 885 counting only the distinct ones).

The product of its digits is 145800, while the sum is 45.

The square root of 199514952 is about 14124.9761769711. The cubic root of 199514952 is about 584.3304019536.

The spelling of 199514952 in words is "one hundred ninety-nine million, five hundred fourteen thousand, nine hundred fifty-two".