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201768714 = 232719271311
BaseRepresentation
bin11000000011010…
…11111100001010
3112001122220122100
430001223330022
5403123044324
632004334230
75000001660
oct1401537412
9461586570
10201768714
11a3990904
12576a4376
1332a56394
141cb22c30
1512aa84c9
hexc06bf0a

201768714 has 96 divisors (see below), whose sum is σ = 529551360. Its totient is φ = 54237600.

The previous prime is 201768713. The next prime is 201768727. The reversal of 201768714 is 417867102.

It is a super-2 number, since 2×2017687142 = 81421227898427592, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (201768713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 648619 + ... + 648929.

It is an arithmetic number, because the mean of its divisors is an integer number (5516160).

Almost surely, 2201768714 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201768714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264775680).

201768714 is an abundant number, since it is smaller than the sum of its proper divisors (327782646).

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

201768714 is a wasteful number, since it uses less digits than its factorization.

201768714 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 201768714 is about 14204.5314600658. The cubic root of 201768714 is about 586.5224076403.

The spelling of 201768714 in words is "two hundred one million, seven hundred sixty-eight thousand, seven hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 57 63 114 126 133 171 266 271 311 342 399 542 622 798 813 933 1197 1626 1866 1897 2177 2394 2439 2799 3794 4354 4878 5149 5598 5691 5909 6531 10298 11382 11818 13062 15447 17073 17727 19593 30894 34146 35454 36043 39186 41363 46341 53181 72086 82726 84281 92682 106362 108129 124089 168562 216258 248178 252843 324387 372267 505686 589967 648774 744534 758529 1179934 1517058 1601339 1769901 3202678 3539802 4804017 5309703 9608034 10619406 11209373 14412051 22418746 28824102 33628119 67256238 100884357 201768714