Search a number
-
+
205239361 is a prime number
BaseRepresentation
bin11000011101110…
…11010001000001
3112022012020110211
430032323101001
5410020124421
632210554121
75041335325
oct1416732101
9468166424
10205239361
11a5941408
1258898941
13336a0012
141d387985
15130419e1
hexc3bb441

205239361 has 2 divisors, whose sum is σ = 205239362. Its totient is φ = 205239360.

The previous prime is 205239343. The next prime is 205239371. The reversal of 205239361 is 163932502.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 202777600 + 2461761 = 14240^2 + 1569^2 .

It is a cyclic number.

It is not a de Polignac number, because 205239361 - 27 = 205239233 is a prime.

It is not a weakly prime, because it can be changed into another prime (205239341) 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 as a sum of consecutive naturals, namely, 102619680 + 102619681.

It is an arithmetic number, because the mean of its divisors is an integer number (102619681).

Almost surely, 2205239361 is an apocalyptic number.

It is an amenable number.

205239361 is a deficient number, since it is larger than the sum of its proper divisors (1).

205239361 is an equidigital number, since it uses as much as digits as its factorization.

205239361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9720, while the sum is 31.

The square root of 205239361 is about 14326.1774734226. The cubic root of 205239361 is about 589.8662542763.

The spelling of 205239361 in words is "two hundred five million, two hundred thirty-nine thousand, three hundred sixty-one".