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205957314 = 23211442073
BaseRepresentation
bin11000100011010…
…10100011000010
3112100112201022200
430101222203002
5410211113224
632234214030
75050415433
oct1421524302
9470481280
10205957314
11a6291862
1258b84316
1333891a44
141d4d348a
15131345c9
hexc46a8c2

205957314 has 12 divisors (see below), whose sum is σ = 446240886. Its totient is φ = 68652432.

The previous prime is 205957253. The next prime is 205957319. The reversal of 205957314 is 413759502.

205957314 is a `hidden beast` number, since 20 + 59 + 573 + 14 = 666.

205957314 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 205205625 + 751689 = 14325^2 + 867^2 .

It is not an unprimeable number, because it can be changed into a prime (205957319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5721019 + ... + 5721054.

Almost surely, 2205957314 is an apocalyptic number.

205957314 is an abundant number, since it is smaller than the sum of its proper divisors (240283572).

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

205957314 is a wasteful number, since it uses less digits than its factorization.

205957314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11442081 (or 11442078 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 205957314 is about 14351.2129800934. The cubic root of 205957314 is about 590.5532625057.

The spelling of 205957314 in words is "two hundred five million, nine hundred fifty-seven thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 11442073 22884146 34326219 68652438 102978657 205957314