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205813134 = 23273156631
BaseRepresentation
bin11000100010001…
…11010110001110
3112100021101112200
430101013112032
5410142010014
632231142330
75046245202
oct1421072616
9470241480
10205813134
11a61a34aa
1258b149a6
1333841227
141d496b02
1513106a09
hexc44758e

205813134 has 24 divisors (see below), whose sum is σ = 452039952. Its totient is φ = 67664160.

The previous prime is 205813133. The next prime is 205813159. The reversal of 205813134 is 431318502.

It is a happy number.

205813134 is a `hidden beast` number, since 20 + 581 + 31 + 34 = 666.

It is a super-2 number, since 2×2058131342 = 84718092253803912, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 205813098 and 205813107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205813133) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 77002 + ... + 79629.

It is an arithmetic number, because the mean of its divisors is an integer number (18834998).

Almost surely, 2205813134 is an apocalyptic number.

205813134 is an abundant number, since it is smaller than the sum of its proper divisors (246226818).

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

205813134 is a wasteful number, since it uses less digits than its factorization.

205813134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156712 (or 156709 counting only the distinct ones).

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

The square root of 205813134 is about 14346.1888318814. The cubic root of 205813134 is about 590.4154251318.

The spelling of 205813134 in words is "two hundred five million, eight hundred thirteen thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 73 146 219 438 657 1314 156631 313262 469893 939786 1409679 2819358 11434063 22868126 34302189 68604378 102906567 205813134