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2206800017 is a prime number
BaseRepresentation
bin1000001110001001…
…0001100010010001
312200210111001111222
42003202101202101
514004420100032
61002551214425
7105454330202
oct20342214221
95623431458
102206800017
11a32754574
12517077415
13292272836
1416d12b5a9
15cdb11a12
hex83891891

2206800017 has 2 divisors, whose sum is σ = 2206800018. Its totient is φ = 2206800016.

The previous prime is 2206799963. The next prime is 2206800019. The reversal of 2206800017 is 7100086022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2191737856 + 15062161 = 46816^2 + 3881^2 .

It is a cyclic number.

It is not a de Polignac number, because 2206800017 - 220 = 2205751441 is a prime.

Together with 2206800019, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2206800019) 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, 1103400008 + 1103400009.

It is an arithmetic number, because the mean of its divisors is an integer number (1103400009).

Almost surely, 22206800017 is an apocalyptic number.

It is an amenable number.

2206800017 is a deficient number, since it is larger than the sum of its proper divisors (1).

2206800017 is an equidigital number, since it uses as much as digits as its factorization.

2206800017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 2206800017 is about 46976.5900954933. The cubic root of 2206800017 is about 1301.9300752598.

Adding to 2206800017 its reverse (7100086022), we get a palindrome (9306886039).

The spelling of 2206800017 in words is "two billion, two hundred six million, eight hundred thousand, seventeen".