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205689241 is a prime number
BaseRepresentation
bin11000100001010…
…01000110011001
3112100001002121001
430100221012121
5410124023431
632224345001
75045221042
oct1420510631
9470032531
10205689241
11a611940a
1258a75161
13337c9a14
141d4638c9
15130cee61
hexc429199

205689241 has 2 divisors, whose sum is σ = 205689242. Its totient is φ = 205689240.

The previous prime is 205689191. The next prime is 205689283. The reversal of 205689241 is 142986502.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 110334016 + 95355225 = 10504^2 + 9765^2 .

It is a cyclic number.

It is not a de Polignac number, because 205689241 - 211 = 205687193 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 205689241.

It is not a weakly prime, because it can be changed into another prime (205689541) by changing a digit.

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 as a sum of consecutive naturals, namely, 102844620 + 102844621.

It is an arithmetic number, because the mean of its divisors is an integer number (102844621).

Almost surely, 2205689241 is an apocalyptic number.

It is an amenable number.

205689241 is a deficient number, since it is larger than the sum of its proper divisors (1).

205689241 is an equidigital number, since it uses as much as digits as its factorization.

205689241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 205689241 is about 14341.8702057995. The cubic root of 205689241 is about 590.2969308786.

The spelling of 205689241 in words is "two hundred five million, six hundred eighty-nine thousand, two hundred forty-one".