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288209 is a prime number
BaseRepresentation
bin1000110010111010001
3112122100102
41012113101
533210314
610102145
72310155
oct1062721
9478312
10288209
11187599
1211a955
13a124c
1477065
155a5de
hex465d1

288209 has 2 divisors, whose sum is σ = 288210. Its totient is φ = 288208.

The previous prime is 288203. The next prime is 288227. The reversal of 288209 is 902882.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 180625 + 107584 = 425^2 + 328^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-288209 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 288209.

It is not a weakly prime, because it can be changed into another prime (288203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 144104 + 144105.

It is an arithmetic number, because the mean of its divisors is an integer number (144105).

2288209 is an apocalyptic number.

It is an amenable number.

288209 is a deficient number, since it is larger than the sum of its proper divisors (1).

288209 is an equidigital number, since it uses as much as digits as its factorization.

288209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 288209 is about 536.8510035382. The cubic root of 288209 is about 66.0545157170.

The spelling of 288209 in words is "two hundred eighty-eight thousand, two hundred nine".