199828224 has 108 divisors (see below), whose sum is σ = 589845256. Its totient is φ = 65028096.

The previous prime is 199828193. The next prime is 199828247. The reversal of 199828224 is 422828991.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 199828224.

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 11 ways as a sum of consecutive naturals, for example, 98064 + ... + 100080.

Almost surely, 2^199828224 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 199828224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294922628).

199828224 is an abundant number, since it is smaller than the sum of its proper divisors (390017032).

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

199828224 is a wasteful number, since it uses less digits than its factorization.

199828224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2082 (or 2065 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 199828224 is about 14136.0611204112. The cubic root of 199828224 is about 584.6360743299.

The spelling of 199828224 in words is "one hundred ninety-nine million, eight hundred twenty-eight thousand, two hundred twenty-four".