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199017168 = 24374991187
BaseRepresentation
bin10111101110011…
…00001011010000
3111212111010020020
423313030023100
5401422022133
631425343440
74634421660
oct1367141320
9455433206
10199017168
11a23815a9
1256797b80
1332301b4c
141c6081a0
15127130b3
hexbdcc2d0

199017168 has 80 divisors (see below), whose sum is σ = 589248000. Its totient is φ = 56700288.

The previous prime is 199017149. The next prime is 199017209. The reversal of 199017168 is 861710991.

199017168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 167071 + ... + 168257.

It is an arithmetic number, because the mean of its divisors is an integer number (7365600).

Almost surely, 2199017168 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 199017168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294624000).

199017168 is an abundant number, since it is smaller than the sum of its proper divisors (390230832).

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

199017168 is a wasteful number, since it uses less digits than its factorization.

199017168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1704 (or 1698 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 42.

The square root of 199017168 is about 14107.3444701687. The cubic root of 199017168 is about 583.8440347882.

The spelling of 199017168 in words is "one hundred ninety-nine million, seventeen thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 499 998 1187 1497 1996 2374 2994 3493 3561 3992 4748 5988 6986 7122 7984 8309 9496 10479 11976 13972 14244 16618 18992 20958 23952 24927 27944 28488 33236 41916 49854 55888 56976 66472 83832 99708 132944 167664 199416 398832 592313 1184626 1776939 2369252 3553878 4146191 4738504 7107756 8292382 9477008 12438573 14215512 16584764 24877146 28431024 33169528 49754292 66339056 99508584 199017168