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204968205 = 33513116791
BaseRepresentation
bin11000011011110…
…01000100001101
3112021200110112000
430031321010031
5404432440310
632201102513
75036125641
oct1415710415
9467613460
10204968205
11a5776712
1258787a39
1333606780
141d316c21
1512edb4c0
hexc37910d

204968205 has 32 divisors (see below), whose sum is σ = 392421120. Its totient is φ = 100906560.

The previous prime is 204968191. The next prime is 204968227. The reversal of 204968205 is 502869402.

It is a happy number.

It is not a de Polignac number, because 204968205 - 27 = 204968077 is a prime.

It is a super-3 number, since 3×2049682053 (a number of 26 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 204968205.

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 31 ways as a sum of consecutive naturals, for example, 56641 + ... + 60150.

It is an arithmetic number, because the mean of its divisors is an integer number (12263160).

Almost surely, 2204968205 is an apocalyptic number.

It is an amenable number.

204968205 is a deficient number, since it is larger than the sum of its proper divisors (187452915).

204968205 is a wasteful number, since it uses less digits than its factorization.

204968205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116818 (or 116812 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 204968205 is about 14316.7106906580. The cubic root of 204968205 is about 589.6063686749.

The spelling of 204968205 in words is "two hundred four million, nine hundred sixty-eight thousand, two hundred five".

Divisors: 1 3 5 9 13 15 27 39 45 65 117 135 195 351 585 1755 116791 350373 583955 1051119 1518283 1751865 3153357 4554849 5255595 7591415 13664547 15766785 22774245 40993641 68322735 204968205