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222023024223149 is a prime number
BaseRepresentation
bin110010011110110111000011…
…011111011010001110101101
31002010010012020022002010200202
4302132313003133122032231
5213100111123200120044
62104111545205403245
764523430341452502
oct6236670337321655
91063105208063622
10222023024223149
116481a488055866
1220a99671709525
1396b68b1bc7856
143cb7d865274a9
151aa04dd3e9c4e
hexc9edc37da3ad

222023024223149 has 2 divisors, whose sum is σ = 222023024223150. Its totient is φ = 222023024223148.

The previous prime is 222023024223079. The next prime is 222023024223151. The reversal of 222023024223149 is 941322420320222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 129442545707524 + 92580478515625 = 11377282^2 + 9621875^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-222023024223149 is a prime.

It is a super-3 number, since 3×2220230242231493 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 222023024223151, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (222023024223349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111011512111574 + 111011512111575.

It is an arithmetic number, because the mean of its divisors is an integer number (111011512111575).

Almost surely, 2222023024223149 is an apocalyptic number.

It is an amenable number.

222023024223149 is a deficient number, since it is larger than the sum of its proper divisors (1).

222023024223149 is an equidigital number, since it uses as much as digits as its factorization.

222023024223149 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 165888, while the sum is 38.

The spelling of 222023024223149 in words is "two hundred twenty-two trillion, twenty-three billion, twenty-four million, two hundred twenty-three thousand, one hundred forty-nine".