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199832094 = 232721143479
BaseRepresentation
bin10111110100100…
…11001000011110
3111221000112002200
423322103020132
5402124111334
631455032330
74644354600
oct1372231036
9457015080
10199832094
11a28888a0
1256b0b6a6
1332528a57
141c77b170
1512824799
hexbe9321e

199832094 has 144 divisors (see below), whose sum is σ = 563397120. Its totient is φ = 50591520.

The previous prime is 199832077. The next prime is 199832111. The reversal of 199832094 is 490238991.

It is an interprime number because it is at equal distance from previous prime (199832077) and next prime (199832111).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 416947 + ... + 417425.

It is an arithmetic number, because the mean of its divisors is an integer number (3912480).

Almost surely, 2199832094 is an apocalyptic number.

199832094 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 199832094, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281698560).

199832094 is an abundant number, since it is smaller than the sum of its proper divisors (363565026).

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

199832094 is a wasteful number, since it uses less digits than its factorization.

199832094 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 199832094 is about 14136.1980037067. The cubic root of 199832094 is about 584.6398484498.

The spelling of 199832094 in words is "one hundred ninety-nine million, eight hundred thirty-two thousand, ninety-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 43 49 63 66 77 86 98 99 126 129 147 154 198 231 258 294 301 387 441 462 473 479 539 602 693 774 882 903 946 958 1078 1386 1419 1437 1617 1806 2107 2709 2838 2874 3234 3311 3353 4214 4257 4311 4851 5269 5418 6321 6622 6706 8514 8622 9702 9933 10059 10538 12642 15807 18963 19866 20118 20597 23177 23471 29799 30177 31614 36883 37926 41194 46354 46942 47421 59598 60354 61791 69531 70413 73766 94842 110649 123582 139062 140826 144179 185373 208593 211239 221298 226567 258181 288358 331947 370746 417186 422478 432537 453134 516362 663894 679701 774543 865074 1009253 1297611 1359402 1549086 1585969 2018506 2039103 2323629 2595222 3027759 3171938 4078206 4647258 4757907 6055518 9083277 9515814 11101783 14273721 18166554 22203566 28547442 33305349 66610698 99916047 199832094