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205384189 is a prime number
BaseRepresentation
bin11000011110111…
…10100111111101
3112022110121010211
430033132213331
5410034243224
632214032421
75042510503
oct1417364775
9468417124
10205384189
11a5a301aa
1258948711
1333720c0a
141d3c4673
151306e894
hexc3de9fd

205384189 has 2 divisors, whose sum is σ = 205384190. Its totient is φ = 205384188.

The previous prime is 205384187. The next prime is 205384199. The reversal of 205384189 is 981483502.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 202635225 + 2748964 = 14235^2 + 1658^2 .

It is a cyclic number.

It is not a de Polignac number, because 205384189 - 21 = 205384187 is a prime.

Together with 205384187, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (205384187) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102692094 + 102692095.

It is an arithmetic number, because the mean of its divisors is an integer number (102692095).

Almost surely, 2205384189 is an apocalyptic number.

It is an amenable number.

205384189 is a deficient number, since it is larger than the sum of its proper divisors (1).

205384189 is an equidigital number, since it uses as much as digits as its factorization.

205384189 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 69120, while the sum is 40.

The square root of 205384189 is about 14331.2312450815. The cubic root of 205384189 is about 590.0049688368.

The spelling of 205384189 in words is "two hundred five million, three hundred eighty-four thousand, one hundred eighty-nine".