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2217346961 is a prime number
BaseRepresentation
bin1000010000101010…
…0000011110010001
312201112022220012112
42010022200132101
514020120100321
61004005235105
7105643065254
oct20412403621
95645286175
102217346961
11a386a8655
1251a702a95
132944c632b
141706b509b
15ce9e6a5b
hex842a0791

2217346961 has 2 divisors, whose sum is σ = 2217346962. Its totient is φ = 2217346960.

The previous prime is 2217346939. The next prime is 2217346991. The reversal of 2217346961 is 1696437122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2129268736 + 88078225 = 46144^2 + 9385^2 .

It is a cyclic number.

It is not a de Polignac number, because 2217346961 - 210 = 2217345937 is a prime.

It is not a weakly prime, because it can be changed into another prime (2217346921) 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, 1108673480 + 1108673481.

It is an arithmetic number, because the mean of its divisors is an integer number (1108673481).

Almost surely, 22217346961 is an apocalyptic number.

It is an amenable number.

2217346961 is a deficient number, since it is larger than the sum of its proper divisors (1).

2217346961 is an equidigital number, since it uses as much as digits as its factorization.

2217346961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 108864, while the sum is 41.

The square root of 2217346961 is about 47088.7137326982. The cubic root of 2217346961 is about 1304.0008815484. Note that the first 3 decimals are identical.

The spelling of 2217346961 in words is "two billion, two hundred seventeen million, three hundred forty-six thousand, nine hundred sixty-one".