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206085229 = 7219415399
BaseRepresentation
bin11000100100010…
…01110001101101
3112100210012210021
430102021301231
5410224211404
632241042141
75051460400
oct1422116155
9470705707
10206085229
11a6369979
1259026351
133390802c
141d527d37
151315c454
hexc489c6d

206085229 has 24 divisors (see below), whose sum is σ = 258552000. Its totient is φ = 163235520.

The previous prime is 206085211. The next prime is 206085259. The reversal of 206085229 is 922580602.

It is a de Polignac number, because none of the positive numbers 2k-206085229 is a prime.

It is a super-2 number, since 2×2060852292 = 84942243223964882, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 206085194 and 206085203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206085259) 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 23 ways as a sum of consecutive naturals, for example, 35472 + ... + 40870.

It is an arithmetic number, because the mean of its divisors is an integer number (10773000).

Almost surely, 2206085229 is an apocalyptic number.

It is an amenable number.

206085229 is a deficient number, since it is larger than the sum of its proper divisors (52466771).

206085229 is a wasteful number, since it uses less digits than its factorization.

206085229 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5473 (or 5466 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 206085229 is about 14355.6688802717. The cubic root of 206085229 is about 590.6754965514.

The spelling of 206085229 in words is "two hundred six million, eighty-five thousand, two hundred twenty-nine".

Divisors: 1 7 19 41 49 133 287 779 931 2009 5399 5453 37793 38171 102581 221359 264551 718067 1549513 4205821 5026469 10846591 29440747 206085229