Search a number
-
+
209441 is a prime number
BaseRepresentation
bin110011001000100001
3101122022002
4303020201
523200231
64253345
71531421
oct631041
9348262
10209441
111333a1
12a1255
137443b
1456481
15420cb
hex33221

209441 has 2 divisors, whose sum is σ = 209442. Its totient is φ = 209440.

The previous prime is 209431. The next prime is 209449. The reversal of 209441 is 144902.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 163216 + 46225 = 404^2 + 215^2 .

It is a cyclic number.

It is not a de Polignac number, because 209441 - 214 = 193057 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a nialpdrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 209441.

It is not a weakly prime, because it can be changed into another prime (209449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 104720 + 104721.

It is an arithmetic number, because the mean of its divisors is an integer number (104721).

2209441 is an apocalyptic number.

It is an amenable number.

209441 is a deficient number, since it is larger than the sum of its proper divisors (1).

209441 is an equidigital number, since it uses as much as digits as its factorization.

209441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 209441 is about 457.6472440647. The cubic root of 209441 is about 59.3864321477.

The spelling of 209441 in words is "two hundred nine thousand, four hundred forty-one".