199338240 has 288 divisors, whose sum is σ = 693455616. Its totient is φ = 48660480.

The previous prime is 199338229. The next prime is 199338283. The reversal of 199338240 is 42833991.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3267810 + ... + 3267870.

It is an arithmetic number, because the mean of its divisors is an integer number (2407832).

Almost surely, 2^199338240 is an apocalyptic number.

199338240 is a gapful number since it is divisible by the number (10) 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 199338240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346727808).

199338240 is an abundant number, since it is smaller than the sum of its proper divisors (494117376).

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

199338240 is a wasteful number, since it uses less digits than its factorization.

199338240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 199338240 is about 14118.7194886789. The cubic root of 199338240 is about 584.1578356146.

The spelling of 199338240 in words is "one hundred ninety-nine million, three hundred thirty-eight thousand, two hundred forty".