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223102309 is a prime number
BaseRepresentation
bin11010100110001…
…00010101100101
3120112210202211111
431103010111211
5424103233214
634045505021
75346224023
oct1523042545
9515722744
10223102309
11104a32081
1262872171
13372b5801
14218b7713
15148be5c4
hexd4c4565

223102309 has 2 divisors, whose sum is σ = 223102310. Its totient is φ = 223102308.

The previous prime is 223102291. The next prime is 223102343. The reversal of 223102309 is 903201322.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 215796100 + 7306209 = 14690^2 + 2703^2 .

It is a cyclic number.

It is not a de Polignac number, because 223102309 - 213 = 223094117 is a prime.

It is a super-3 number, since 3×2231023093 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 223102309.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (223102379) 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, 111551154 + 111551155.

It is an arithmetic number, because the mean of its divisors is an integer number (111551155).

Almost surely, 2223102309 is an apocalyptic number.

It is an amenable number.

223102309 is a deficient number, since it is larger than the sum of its proper divisors (1).

223102309 is an equidigital number, since it uses as much as digits as its factorization.

223102309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 223102309 is about 14936.6096889488. The cubic root of 223102309 is about 606.5054229057.

The spelling of 223102309 in words is "two hundred twenty-three million, one hundred two thousand, three hundred nine".