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205823028 = 22361317887
BaseRepresentation
bin11000100010010…
…01110000110100
3112100021220010010
430101021300310
5410142314103
632231300220
75046316065
oct1421116064
9470256103
10205823028
11a61aa984
1258b1a670
1333845898
141d49a56c
1513109903
hexc449c34

205823028 has 48 divisors (see below), whose sum is σ = 490218624. Its totient is φ = 67194240.

The previous prime is 205823017. The next prime is 205823077. The reversal of 205823028 is 820328502.

It is a junction number, because it is equal to n+sod(n) for n = 205822986 and 205823004.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 231601 + ... + 232487.

It is an arithmetic number, because the mean of its divisors is an integer number (10212888).

Almost surely, 2205823028 is an apocalyptic number.

It is an amenable number.

205823028 is an abundant number, since it is smaller than the sum of its proper divisors (284395596).

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

205823028 is a wasteful number, since it uses less digits than its factorization.

205823028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272 (or 1270 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 205823028 is about 14346.5336579956. The cubic root of 205823028 is about 590.4248859414.

The spelling of 205823028 in words is "two hundred five million, eight hundred twenty-three thousand, twenty-eight".

Divisors: 1 2 3 4 6 12 61 122 183 244 317 366 634 732 887 951 1268 1774 1902 2661 3548 3804 5322 10644 19337 38674 54107 58011 77348 108214 116022 162321 216428 232044 281179 324642 562358 649284 843537 1124716 1687074 3374148 17151919 34303838 51455757 68607676 102911514 205823028