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222223241321 is a prime number
BaseRepresentation
bin1100111011110110001…
…0011001000001101001
3210020121010020022111022
43032331202121001221
512120103122210241
6250030555142225
722024620246014
oct3167542310151
9706533208438
10222223241321
1186276254344
123709a144975
1317c564a5003
14aa8177437b
155ba949d54b
hex33bd899069

222223241321 has 2 divisors, whose sum is σ = 222223241322. Its totient is φ = 222223241320.

The previous prime is 222223241299. The next prime is 222223241327. The reversal of 222223241321 is 123142322222.

222223241321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 199411368025 + 22811873296 = 446555^2 + 151036^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-222223241321 is a prime.

It is a super-2 number, since 2×2222232413212 (a number of 23 digits) contains 22 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 (222223241327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111111620660 + 111111620661.

It is an arithmetic number, because the mean of its divisors is an integer number (111111620661).

Almost surely, 2222223241321 is an apocalyptic number.

It is an amenable number.

222223241321 is a deficient number, since it is larger than the sum of its proper divisors (1).

222223241321 is an equidigital number, since it uses as much as digits as its factorization.

222223241321 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4608, while the sum is 26.

Adding to 222223241321 its reverse (123142322222), we get a palindrome (345365563543).

The spelling of 222223241321 in words is "two hundred twenty-two billion, two hundred twenty-three million, two hundred forty-one thousand, three hundred twenty-one".