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199500168 = 23372172587
BaseRepresentation
bin10111110010000…
…10000110001000
3111220101122210010
423321002012020
5402033001133
631443551520
74641503100
oct1371020610
9456348703
10199500168
11a268147a
125698b5a0
133244094a
141c6d2200
15127ab263
hexbe42188

199500168 has 144 divisors (see below), whose sum is σ = 617364720. Its totient is φ = 53555712.

The previous prime is 199500157. The next prime is 199500179. The reversal of 199500168 is 861005991.

It is an interprime number because it is at equal distance from previous prime (199500157) and next prime (199500179).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 339571 + ... + 340157.

It is an arithmetic number, because the mean of its divisors is an integer number (4287255).

Almost surely, 2199500168 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 199500168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308682360).

199500168 is an abundant number, since it is smaller than the sum of its proper divisors (417864552).

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

199500168 is a wasteful number, since it uses less digits than its factorization.

199500168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 39.

The square root of 199500168 is about 14124.4528389598. The cubic root of 199500168 is about 584.3159686927.

The spelling of 199500168 in words is "one hundred ninety-nine million, five hundred thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 49 51 56 68 84 98 102 119 136 147 168 196 204 238 289 294 357 392 408 476 578 587 588 714 833 867 952 1156 1174 1176 1428 1666 1734 1761 2023 2312 2348 2499 2856 3332 3468 3522 4046 4109 4696 4998 6069 6664 6936 7044 8092 8218 9979 9996 12138 12327 14088 14161 16184 16436 19958 19992 24276 24654 28322 28763 29937 32872 39916 42483 48552 49308 56644 57526 59874 69853 79832 84966 86289 98616 113288 115052 119748 139706 169643 169932 172578 209559 230104 239496 279412 339286 339864 345156 419118 488971 508929 558824 678572 690312 838236 977942 1017858 1187501 1357144 1466913 1676472 1955884 2035716 2375002 2933826 3562503 3911768 4071432 4750004 5867652 7125006 8312507 9500008 11735304 14250012 16625014 24937521 28500024 33250028 49875042 66500056 99750084 199500168