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2217083317 is a prime number
BaseRepresentation
bin1000010000100110…
…0000000110110101
312201111211111112221
42010021200012311
514020033131232
61003555442341
7105640616521
oct20411400665
95644744487
102217083317
11a38538569
1251a5b63b1
13294433327
14170646d81
15ce993897
hex842601b5

2217083317 has 2 divisors, whose sum is σ = 2217083318. Its totient is φ = 2217083316.

The previous prime is 2217083293. The next prime is 2217083353. The reversal of 2217083317 is 7133807122.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2171466801 + 45616516 = 46599^2 + 6754^2 .

It is a cyclic number.

It is not a de Polignac number, because 2217083317 - 231 = 69599669 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2217083377) 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, 1108541658 + 1108541659.

It is an arithmetic number, because the mean of its divisors is an integer number (1108541659).

Almost surely, 22217083317 is an apocalyptic number.

It is an amenable number.

2217083317 is a deficient number, since it is larger than the sum of its proper divisors (1).

2217083317 is an equidigital number, since it uses as much as digits as its factorization.

2217083317 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14112, while the sum is 34.

The square root of 2217083317 is about 47085.9142100905. The cubic root of 2217083317 is about 1303.9491973148.

The spelling of 2217083317 in words is "two billion, two hundred seventeen million, eighty-three thousand, three hundred seventeen".