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199985208 = 2334124957
BaseRepresentation
bin10111110101110…
…00100000111000
3111221022022010120
423322320200320
5402144011313
631502213240
74645563153
oct1372704070
9457268116
10199985208
11a2982935
1256b84220
1332580657
141c7bac9a
1512854d23
hexbeb8838

199985208 has 48 divisors (see below), whose sum is σ = 512558040. Its totient is φ = 65022720.

The previous prime is 199985197. The next prime is 199985209. The reversal of 199985208 is 802589991.

199985208 is digitally balanced in base 2, 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 (199985209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37866 + ... + 42822.

Almost surely, 2199985208 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 199985208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256279020).

199985208 is an abundant number, since it is smaller than the sum of its proper divisors (312572832).

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

199985208 is a wasteful number, since it uses less digits than its factorization.

199985208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5048 (or 5003 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 51.

The square root of 199985208 is about 14141.6126378854. The cubic root of 199985208 is about 584.7891299303.

The spelling of 199985208 in words is "one hundred ninety-nine million, nine hundred eighty-five thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 246 328 492 984 1681 3362 4957 5043 6724 9914 10086 13448 14871 19828 20172 29742 39656 40344 59484 118968 203237 406474 609711 812948 1219422 1625896 2438844 4877688 8332717 16665434 24998151 33330868 49996302 66661736 99992604 199985208