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223083209 is a prime number
BaseRepresentation
bin11010100101111…
…11101011001001
3120112202210122002
431102333223021
5424102130314
634045240345
75346114236
oct1522775311
9515683562
10223083209
11104a19798
12628630b5
13372a9bcb
14218b078d
15148b8ade
hexd4bfac9

223083209 has 2 divisors, whose sum is σ = 223083210. Its totient is φ = 223083208.

The previous prime is 223083181. The next prime is 223083221. The reversal of 223083209 is 902380322.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 120121600 + 102961609 = 10960^2 + 10147^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-223083209 is a prime.

It is a super-3 number, since 3×2230832093 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (223083229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111541604 + 111541605.

It is an arithmetic number, because the mean of its divisors is an integer number (111541605).

Almost surely, 2223083209 is an apocalyptic number.

It is an amenable number.

223083209 is a deficient number, since it is larger than the sum of its proper divisors (1).

223083209 is an equidigital number, since it uses as much as digits as its factorization.

223083209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 223083209 is about 14935.9703066122. The cubic root of 223083209 is about 606.4881145772.

The spelling of 223083209 in words is "two hundred twenty-three million, eighty-three thousand, two hundred nine".