199737216 has 384 divisors, whose sum is σ = 733224960. Its totient is φ = 50872320.

The previous prime is 199737173. The next prime is 199737227. The reversal of 199737216 is 612737991.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 4249705 + ... + 4249751.

It is an arithmetic number, because the mean of its divisors is an integer number (1909440).

Almost surely, 2^199737216 is an apocalyptic number.

199737216 is a gapful number since it is divisible by the number (16) 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 199737216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366612480).

199737216 is an abundant number, since it is smaller than the sum of its proper divisors (533487744).

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

199737216 is a wasteful number, since it uses less digits than its factorization.

199737216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 107 counting only the distinct ones).

The product of its digits is 142884, while the sum is 45.

The square root of 199737216 is about 14132.8417524573. The cubic root of 199737216 is about 584.5473070241.

The spelling of 199737216 in words is "one hundred ninety-nine million, seven hundred thirty-seven thousand, two hundred sixteen".