199558242 has 120 divisors (see below), whose sum is σ = 499811796. Its totient is φ = 59439744.

The previous prime is 199558231. The next prime is 199558243. The reversal of 199558242 is 242855991.

It is a happy number.

199558242 is a `hidden beast` number, since 1 + 99 + 558 + 2 + 4 + 2 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 130850721 + 68707521 = 11439^2 + 8289^2 .

It is not an unprimeable number, because it can be changed into a prime (199558243) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1012888 + ... + 1013084.

Almost surely, 2^199558242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199558242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249905898).

199558242 is an abundant number, since it is smaller than the sum of its proper divisors (300253554).

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

199558242 is a wasteful number, since it uses less digits than its factorization.

199558242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 252 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The square root of 199558242 is about 14126.5084858220. The cubic root of 199558242 is about 584.3726608312.

The spelling of 199558242 in words is "one hundred ninety-nine million, five hundred fifty-eight thousand, two hundred forty-two".