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199982016 = 263213171571
BaseRepresentation
bin10111110101101…
…11101111000000
3111221022010202100
423322313233000
5402143411031
631502150400
74645550643
oct1372675700
9457263670
10199982016
11a29804a3
1256b82400
133257c070
141c7b9a5a
1512853de6
hexbeb7bc0

199982016 has 168 divisors, whose sum is σ = 654033744. Its totient is φ = 57876480.

The previous prime is 199981997. The next prime is 199982063. The reversal of 199982016 is 610289991.

199982016 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 126511 + ... + 128081.

It is an arithmetic number, because the mean of its divisors is an integer number (3893058).

Almost surely, 2199982016 is an apocalyptic number.

199982016 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 199982016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327016872).

199982016 is an abundant number, since it is smaller than the sum of its proper divisors (454051728).

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

199982016 is a wasteful number, since it uses less digits than its factorization.

199982016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1619 (or 1606 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 45.

The square root of 199982016 is about 14141.4997790192. The cubic root of 199982016 is about 584.7860186055.

The spelling of 199982016 in words is "one hundred ninety-nine million, nine hundred eighty-two thousand, sixteen".