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205174013 = 1121695653
BaseRepresentation
bin11000011101010…
…11010011111101
3112022001220211112
430032223103331
5410011032023
632205331405
75040643652
oct1416532375
9468056745
10205174013
11a58a7300
1258866b65
1333679355
141d36bc29
151302c478
hexc3ab4fd

205174013 has 6 divisors (see below), whose sum is σ = 225521982. Its totient is φ = 186521720.

The previous prime is 205174001. The next prime is 205174031. The reversal of 205174013 is 310471502.

It can be written as a sum of positive squares in only one way, i.e., 107599129 + 97574884 = 10373^2 + 9878^2 .

It is not a de Polignac number, because 205174013 - 212 = 205169917 is a prime.

It is a super-2 number, since 2×2051740132 = 84192751221048338, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 205174013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205174063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 847706 + ... + 847947.

It is an arithmetic number, because the mean of its divisors is an integer number (37586997).

Almost surely, 2205174013 is an apocalyptic number.

It is an amenable number.

205174013 is a deficient number, since it is larger than the sum of its proper divisors (20347969).

205174013 is a wasteful number, since it uses less digits than its factorization.

205174013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1695675 (or 1695664 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 205174013 is about 14323.8965718131. The cubic root of 205174013 is about 589.8036433626.

The spelling of 205174013 in words is "two hundred five million, one hundred seventy-four thousand, thirteen".

Divisors: 1 11 121 1695653 18652183 205174013