199221984 has 96 divisors (see below), whose sum is σ = 625796640. Its totient is φ = 61295616.

The previous prime is 199221983. The next prime is 199222003. The reversal of 199221984 is 489122991.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199221983) 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 15 ways as a sum of consecutive naturals, for example, 2364 + ... + 20100.

It is an arithmetic number, because the mean of its divisors is an integer number (6518715).

Almost surely, 2^199221984 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 199221984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312898320).

199221984 is an abundant number, since it is smaller than the sum of its proper divisors (426574656).

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

199221984 is a wasteful number, since it uses less digits than its factorization.

199221984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17769 (or 17755 counting only the distinct ones).

The product of its digits is 93312, while the sum is 45.

The square root of 199221984 is about 14114.6018009719. The cubic root of 199221984 is about 584.0442513538.

The spelling of 199221984 in words is "one hundred ninety-nine million, two hundred twenty-one thousand, nine hundred eighty-four".