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222241344329 is a prime number
BaseRepresentation
bin1100111011111010011…
…1011100101101001001
3210020122101022001011002
43032332213130231021
512120122241004304
6250032443144345
722025230154324
oct3167647345511
9706571261132
10222241344329
1186285499404
12370a42150b5
1317c5a172b54
14aa83d277bb
155baad7731e
hex33be9dcb49

222241344329 has 2 divisors, whose sum is σ = 222241344330. Its totient is φ = 222241344328.

The previous prime is 222241344271. The next prime is 222241344341. The reversal of 222241344329 is 923443142222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 186255254329 + 35986090000 = 431573^2 + 189700^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-222241344329 is a prime.

It is a super-2 number, since 2×2222413443292 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 222241344292 and 222241344301.

It is not a weakly prime, because it can be changed into another prime (222241344379) 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, 111120672164 + 111120672165.

It is an arithmetic number, because the mean of its divisors is an integer number (111120672165).

Almost surely, 2222241344329 is an apocalyptic number.

It is an amenable number.

222241344329 is a deficient number, since it is larger than the sum of its proper divisors (1).

222241344329 is an equidigital number, since it uses as much as digits as its factorization.

222241344329 is an odious number, because the sum of its binary digits is odd.

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

The spelling of 222241344329 in words is "two hundred twenty-two billion, two hundred forty-one million, three hundred forty-four thousand, three hundred twenty-nine".