199999950 has 96 divisors (see below), whose sum is σ = 535680000. Its totient is φ = 49230720.

The previous prime is 199999949. The next prime is 199999957. The reversal of 199999950 is 59999991.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199999957) by changing a digit.

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, 99051 + ... + 101049.

It is an arithmetic number, because the mean of its divisors is an integer number (5580000).

Almost surely, 2^199999950 is an apocalyptic number.

199999950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 199999950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267840000).

199999950 is an abundant number, since it is smaller than the sum of its proper divisors (335680050).

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

199999950 is a wasteful number, since it uses less digits than its factorization.

199999950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2066 (or 2061 counting only the distinct ones).

The product of its (nonzero) digits is 2657205, while the sum is 60.

The square root of 199999950 is about 14142.1338559639. The cubic root of 199999950 is about 584.8034989089.

The spelling of 199999950 in words is "one hundred ninety-nine million, nine hundred ninety-nine thousand, nine hundred fifty".