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2217817993 is a prime number
BaseRepresentation
bin1000010000110001…
…0011011110001001
312201120012211100011
42010030103132021
514020230133433
61004023311521
7105650066446
oct20414233611
95646184304
102217817993
11a3899a536
1251a8ab5a1
1329462c851
141707989cd
15cea8b3cd
hex84313789

2217817993 has 2 divisors, whose sum is σ = 2217817994. Its totient is φ = 2217817992.

The previous prime is 2217817969. The next prime is 2217818023. The reversal of 2217817993 is 3997187122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1740308089 + 477509904 = 41717^2 + 21852^2 .

It is a cyclic number.

It is not a de Polignac number, because 2217817993 - 217 = 2217686921 is a prime.

It is not a weakly prime, because it can be changed into another prime (2217817963) 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, 1108908996 + 1108908997.

It is an arithmetic number, because the mean of its divisors is an integer number (1108908997).

Almost surely, 22217817993 is an apocalyptic number.

It is an amenable number.

2217817993 is a deficient number, since it is larger than the sum of its proper divisors (1).

2217817993 is an equidigital number, since it uses as much as digits as its factorization.

2217817993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 381024, while the sum is 49.

The square root of 2217817993 is about 47093.7150052956. The cubic root of 2217817993 is about 1304.0932115063.

The spelling of 2217817993 in words is "two billion, two hundred seventeen million, eight hundred seventeen thousand, nine hundred ninety-three".