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22664097217 is a prime number
BaseRepresentation
bin10101000110111000…
…101010110111000001
32011111111111102121001
4111012320222313001
5332404002102332
614224534132001
71431431435116
oct250670526701
964444442531
1022664097217
119680323763
1244861b1001
1321a2600718
14115005090d
158c9aad0e7
hex546e2adc1

22664097217 has 2 divisors, whose sum is σ = 22664097218. Its totient is φ = 22664097216.

The previous prime is 22664097191. The next prime is 22664097223. The reversal of 22664097217 is 71279046622.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17801963776 + 4862133441 = 133424^2 + 69729^2 .

It is a cyclic number.

It is not a de Polignac number, because 22664097217 - 27 = 22664097089 is a prime.

It is a super-2 number, since 2×226640972172 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (22664097017) 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, 11332048608 + 11332048609.

It is an arithmetic number, because the mean of its divisors is an integer number (11332048609).

Almost surely, 222664097217 is an apocalyptic number.

It is an amenable number.

22664097217 is a deficient number, since it is larger than the sum of its proper divisors (1).

22664097217 is an equidigital number, since it uses as much as digits as its factorization.

22664097217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 508032, while the sum is 46.

The spelling of 22664097217 in words is "twenty-two billion, six hundred sixty-four million, ninety-seven thousand, two hundred seventeen".