199982772 has 72 divisors (see below), whose sum is σ = 554037120. Its totient is φ = 60318720.

The previous prime is 199982759. The next prime is 199982779. The reversal of 199982772 is 277289991.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199982779) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93588 + ... + 95700.

It is an arithmetic number, because the mean of its divisors is an integer number (7694960).

Almost surely, 2^199982772 is an apocalyptic number.

199982772 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 199982772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277018560).

199982772 is an abundant number, since it is smaller than the sum of its proper divisors (354054348).

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

199982772 is a wasteful number, since it uses less digits than its factorization.

199982772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2373 (or 2368 counting only the distinct ones).

The product of its digits is 1143072, while the sum is 54.

The square root of 199982772 is about 14141.5265088321. The cubic root of 199982772 is about 584.7867555012.

The spelling of 199982772 in words is "one hundred ninety-nine million, nine hundred eighty-two thousand, seven hundred seventy-two".