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222312333029 is a prime number
BaseRepresentation
bin1100111100001011011…
…0001111111011100101
3210020211022212122100012
43033002312033323211
512120243424124104
6250043500500005
722030051436423
oct3170266177345
9706738778305
10222312333029
1186311575256
1237103b4a605
1317c6ba996b7
14aa8d526113
155bb21ead6e
hex33c2d8fee5

222312333029 has 2 divisors, whose sum is σ = 222312333030. Its totient is φ = 222312333028.

The previous prime is 222312332971. The next prime is 222312333031. The reversal of 222312333029 is 920333213222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 192348030625 + 29964302404 = 438575^2 + 173102^2 .

It is a cyclic number.

It is not a de Polignac number, because 222312333029 - 228 = 222043897573 is a prime.

Together with 222312333031, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 222312332986 and 222312333004.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (222312332029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111156166514 + 111156166515.

It is an arithmetic number, because the mean of its divisors is an integer number (111156166515).

Almost surely, 2222312333029 is an apocalyptic number.

It is an amenable number.

222312333029 is a deficient number, since it is larger than the sum of its proper divisors (1).

222312333029 is an equidigital number, since it uses as much as digits as its factorization.

222312333029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23328, while the sum is 32.

The spelling of 222312333029 in words is "two hundred twenty-two billion, three hundred twelve million, three hundred thirty-three thousand, twenty-nine".