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199696266 = 23472112287
BaseRepresentation
bin10111110011100…
…01111110001010
3111220202121210000
423321301332022
5402110240031
631452103430
74643250600
oct1371617612
9456677700
10199696266
11a27a5840
1256a64b76
13324abc93
141c743870
15127e93e6
hexbe71f8a

199696266 has 120 divisors (see below), whose sum is σ = 568092096. Its totient is φ = 51846480.

The previous prime is 199696253. The next prime is 199696267. The reversal of 199696266 is 662696991.

It is a happy number.

199696266 is a `hidden beast` number, since 1 + 9 + 9 + 6 + 9 + 626 + 6 = 666.

199696266 is digitally balanced in base 3, 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 (54).

It is a nude number because it is divisible by every one of its digits.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (199696267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 86175 + ... + 88461.

Almost surely, 2199696266 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199696266, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284046048).

199696266 is an abundant number, since it is smaller than the sum of its proper divisors (368395830).

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

199696266 is a wasteful number, since it uses less digits than its factorization.

199696266 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2326 (or 2310 counting only the distinct ones).

The product of its digits is 1889568, while the sum is 54.

The square root of 199696266 is about 14131.3929249738. The cubic root of 199696266 is about 584.5073564518.

The spelling of 199696266 in words is "one hundred ninety-nine million, six hundred ninety-six thousand, two hundred sixty-six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 49 54 63 66 77 81 98 99 126 147 154 162 189 198 231 294 297 378 441 462 539 567 594 693 882 891 1078 1134 1323 1386 1617 1782 2079 2287 2646 3234 3969 4158 4574 4851 6237 6861 7938 9702 12474 13722 14553 16009 20583 25157 29106 32018 41166 43659 48027 50314 61749 75471 87318 96054 112063 123498 144081 150942 176099 185247 224126 226413 288162 336189 352198 370494 432243 452826 528297 672378 679239 864486 1008567 1056594 1232693 1296729 1358478 1584891 2017134 2037717 2465386 2593458 3025701 3169782 3698079 4075434 4754673 6051402 7396158 9077103 9509346 11094237 14264019 18154206 22188474 28528038 33282711 66565422 99848133 199696266