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199985982 = 23719733433
BaseRepresentation
bin10111110101110…
…00101100111110
3111221022100012020
423322320230332
5402144022412
631502221010
74645565340
oct1372705476
9457270166
10199985982
11a2983479
1256b84766
1332580b01
141c7bb290
151285518c
hexbeb8b3e

199985982 has 64 divisors (see below), whose sum is σ = 487902720. Its totient is φ = 53374464.

The previous prime is 199985953. The next prime is 199985983. The reversal of 199985982 is 289589991.

199985982 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 not an unprimeable number, because it can be changed into a prime (199985983) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56538 + ... + 59970.

It is an arithmetic number, because the mean of its divisors is an integer number (7623480).

Almost surely, 2199985982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199985982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243951360).

199985982 is an abundant number, since it is smaller than the sum of its proper divisors (287916738).

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

199985982 is a wasteful number, since it uses less digits than its factorization.

199985982 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3537.

The product of its digits is 4199040, while the sum is 60.

The square root of 199985982 is about 14141.6400039034. The cubic root of 199985982 is about 584.7898843631.

The spelling of 199985982 in words is "one hundred ninety-nine million, nine hundred eighty-five thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 73 114 133 146 219 266 399 438 511 798 1022 1387 1533 2774 3066 3433 4161 6866 8322 9709 10299 19418 20598 24031 29127 48062 58254 65227 72093 130454 144186 195681 250609 391362 456589 501218 751827 913178 1369767 1503654 1754263 2739534 3508526 4761571 5262789 9523142 10525578 14284713 28569426 33330997 66661994 99992991 199985982