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205117614 = 232131751563
BaseRepresentation
bin11000011100111…
…01100010101110
3112021222001110200
430032131202232
5410002230424
632204214330
75040320352
oct1416354256
9467861420
10205117614
11a5868999
125883a3a6
1333659790
141d355462
151301a8c9
hexc39d8ae

205117614 has 48 divisors (see below), whose sum is σ = 506770992. Its totient is φ = 59399424.

The previous prime is 205117553. The next prime is 205117621. The reversal of 205117614 is 416711502.

It is a happy number.

205117614 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21804 + ... + 29759.

It is an arithmetic number, because the mean of its divisors is an integer number (10557729).

Almost surely, 2205117614 is an apocalyptic number.

205117614 is an abundant number, since it is smaller than the sum of its proper divisors (301653378).

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

205117614 is a wasteful number, since it uses less digits than its factorization.

205117614 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51601 (or 51598 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 205117614 is about 14321.9277333744. The cubic root of 205117614 is about 589.7495959330.

The spelling of 205117614 in words is "two hundred five million, one hundred seventeen thousand, six hundred fourteen".

Divisors: 1 2 3 6 9 13 17 18 26 34 39 51 78 102 117 153 221 234 306 442 663 1326 1989 3978 51563 103126 154689 309378 464067 670319 876571 928134 1340638 1753142 2010957 2629713 4021914 5259426 6032871 7889139 11395423 12065742 15778278 22790846 34186269 68372538 102558807 205117614