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205999968 = 2537130223
BaseRepresentation
bin11000100011101…
…00111101100000
3112100121212211110
430101310331200
5410213444333
632235143320
75050653666
oct1421647540
9470555743
10205999968
11a6310909
1258ba4b40
13338a8295
141d504c36
1513142063
hexc474f60

205999968 has 48 divisors (see below), whose sum is σ = 548384256. Its totient is φ = 67697280.

The previous prime is 205999943. The next prime is 205999973. The reversal of 205999968 is 869999502.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 8296 + ... + 21927.

It is an arithmetic number, because the mean of its divisors is an integer number (11424672).

Almost surely, 2205999968 is an apocalyptic number.

It is an amenable number.

205999968 is an abundant number, since it is smaller than the sum of its proper divisors (342384288).

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

205999968 is a wasteful number, since it uses less digits than its factorization.

205999968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30307 (or 30299 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 57.

The square root of 205999968 is about 14352.6989796345. The cubic root of 205999968 is about 590.5940277815.

The spelling of 205999968 in words is "two hundred five million, nine hundred ninety-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 71 96 142 213 284 426 568 852 1136 1704 2272 3408 6816 30223 60446 90669 120892 181338 241784 362676 483568 725352 967136 1450704 2145833 2901408 4291666 6437499 8583332 12874998 17166664 25749996 34333328 51499992 68666656 102999984 205999968