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199971198 = 23272516323
BaseRepresentation
bin10111110101101…
…01000101111110
3111221021120220200
423322311011332
5402143034243
631502024330
74645504260
oct1372650576
9457246820
10199971198
11a2973359
1256b780a6
133257716b
141c7b5b30
1512850ad3
hexbeb517e

199971198 has 48 divisors (see below), whose sum is σ = 497218176. Its totient is φ = 56898000.

The previous prime is 199971193. The next prime is 199971203. The reversal of 199971198 is 891179991.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (199971193) and next prime (199971203).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199971193) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28465 + ... + 34787.

It is an arithmetic number, because the mean of its divisors is an integer number (10358712).

Almost surely, 2199971198 is an apocalyptic number.

199971198 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 199971198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248609088).

199971198 is an abundant number, since it is smaller than the sum of its proper divisors (297246978).

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

199971198 is a wasteful number, since it uses less digits than its factorization.

199971198 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6589 (or 6586 counting only the distinct ones).

The product of its digits is 367416, while the sum is 54.

The square root of 199971198 is about 14141.1172825912. The cubic root of 199971198 is about 584.7754737753.

The spelling of 199971198 in words is "one hundred ninety-nine million, nine hundred seventy-one thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 251 502 753 1506 1757 2259 3514 4518 5271 6323 10542 12646 15813 18969 31626 37938 44261 56907 88522 113814 132783 265566 398349 796698 1587073 3174146 4761219 9522438 11109511 14283657 22219022 28567314 33328533 66657066 99985599 199971198