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22322201249 is a prime number
BaseRepresentation
bin10100110010100000…
…011100001010100001
32010121200011022111102
4110302200130022201
5331203440414444
614131002124145
71420110402635
oct246240341241
963550138442
1022322201249
119515334207
1243ab7b0655
13214982410a
14111a892dc5
158a9a7584e
hex53281c2a1

22322201249 has 2 divisors, whose sum is σ = 22322201250. Its totient is φ = 22322201248.

The previous prime is 22322201227. The next prime is 22322201327. The reversal of 22322201249 is 94210222322.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 17185899025 + 5136302224 = 131095^2 + 71668^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22322201249 is a prime.

It is a super-3 number, since 3×223222012493 (a number of 32 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (22322203249) 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, 11161100624 + 11161100625.

It is an arithmetic number, because the mean of its divisors is an integer number (11161100625).

Almost surely, 222322201249 is an apocalyptic number.

It is an amenable number.

22322201249 is a deficient number, since it is larger than the sum of its proper divisors (1).

22322201249 is an equidigital number, since it uses as much as digits as its factorization.

22322201249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6912, while the sum is 29.

The spelling of 22322201249 in words is "twenty-two billion, three hundred twenty-two million, two hundred one thousand, two hundred forty-nine".