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205023168 = 2632750849
BaseRepresentation
bin11000011100001…
…10011111000000
3112021210020220200
430032012133000
5404441220133
632202205200
75036445120
oct1416063700
9467706820
10205023168
11a5803a39
12587b3800
13336257ac
141d32cc80
1512eec913
hexc3867c0

205023168 has 84 divisors (see below), whose sum is σ = 671626800. Its totient is φ = 58576896.

The previous prime is 205023157. The next prime is 205023229. The reversal of 205023168 is 861320502.

It is a tau number, because it is divible by the number of its divisors (84).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21393 + ... + 29456.

Almost surely, 2205023168 is an apocalyptic number.

205023168 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

205023168 is an abundant number, since it is smaller than the sum of its proper divisors (466603632).

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

205023168 is a wasteful number, since it uses less digits than its factorization.

205023168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50874 (or 50861 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 205023168 is about 14318.6301020733. The cubic root of 205023168 is about 589.6590656914.

The spelling of 205023168 in words is "two hundred five million, twenty-three thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 50849 101698 152547 203396 305094 355943 406792 457641 610188 711886 813584 915282 1067829 1220376 1423772 1627168 1830564 2135658 2440752 2847544 3203487 3254336 3661128 4271316 4881504 5695088 6406974 7322256 8542632 9763008 11390176 12813948 14644512 17085264 22780352 25627896 29289024 34170528 51255792 68341056 102511584 205023168