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199211712 = 2637178719
BaseRepresentation
bin10111101111110…
…11101011000000
3111212212000002120
423313323223000
5401444233322
631433444240
74636162110
oct1367735300
9455760076
10199211712
11a24a4787
1256870680
133236c56b
141c659040
1512750a5c
hexbdfbac0

199211712 has 112 divisors (see below), whose sum is σ = 637885440. Its totient is φ = 53563392.

The previous prime is 199211711. The next prime is 199211723. The reversal of 199211712 is 217112991.

199211712 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×1992117123 (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (199211711) 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 15 ways as a sum of consecutive naturals, for example, 18489 + ... + 27207.

Almost surely, 2199211712 is an apocalyptic number.

199211712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199211712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318942720).

199211712 is an abundant number, since it is smaller than the sum of its proper divisors (438673728).

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

199211712 is a wasteful number, since it uses less digits than its factorization.

199211712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8758 (or 8748 counting only the distinct ones).

The product of its digits is 2268, while the sum is 33.

The square root of 199211712 is about 14114.2379177907. The cubic root of 199211712 is about 584.0342132955.

The spelling of 199211712 in words is "one hundred ninety-nine million, two hundred eleven thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 64 68 84 96 102 112 119 136 168 192 204 224 238 272 336 357 408 448 476 544 672 714 816 952 1088 1344 1428 1632 1904 2856 3264 3808 5712 7616 8719 11424 17438 22848 26157 34876 52314 61033 69752 104628 122066 139504 148223 183099 209256 244132 279008 296446 366198 418512 444669 488264 558016 592892 732396 837024 889338 976528 1037561 1185784 1464792 1674048 1778676 1953056 2075122 2371568 2929584 3112683 3557352 3906112 4150244 4743136 5859168 6225366 7114704 8300488 9486272 11718336 12450732 14229408 16600976 24901464 28458816 33201952 49802928 66403904 99605856 199211712