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222221182241 is a prime number
BaseRepresentation
bin1100111011110101101…
…0100010010100100001
3210020120222100200222002
43032331122202110201
512120102110312431
6250030443053345
722024563611612
oct3167532422441
9706528320862
10222221182241
1186275078323
1237099511255
1317c55c33a16
14aa81399c09
155ba91e33cb
hex33bd6a2521

222221182241 has 2 divisors, whose sum is σ = 222221182242. Its totient is φ = 222221182240.

The previous prime is 222221182219. The next prime is 222221182247. The reversal of 222221182241 is 142281122222.

222221182241 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., 143538688225 + 78682494016 = 378865^2 + 280504^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-222221182241 is a prime.

It is not a weakly prime, because it can be changed into another prime (222221182247) 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, 111110591120 + 111110591121.

It is an arithmetic number, because the mean of its divisors is an integer number (111110591121).

Almost surely, 2222221182241 is an apocalyptic number.

It is an amenable number.

222221182241 is a deficient number, since it is larger than the sum of its proper divisors (1).

222221182241 is an equidigital number, since it uses as much as digits as its factorization.

222221182241 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4096, while the sum is 29.

The spelling of 222221182241 in words is "two hundred twenty-two billion, two hundred twenty-one million, one hundred eighty-two thousand, two hundred forty-one".