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322222404222241 is a prime number
BaseRepresentation
bin100100101000011110011111…
…1111100010011110100100001
31120020220011100101001001010021
41021100330333330103310201
5314213242440440102431
63101150532353433441
7124604541362641165
oct11120747774236441
91506804311031107
10322222404222241
1193740832954296
1230180a3b26b881
1310aa4599a80403
14597d90cd48ca5
15273bb269beb11
hex1250f3ff13d21

322222404222241 has 2 divisors, whose sum is σ = 322222404222242. Its totient is φ = 322222404222240.

The previous prime is 322222404222221. The next prime is 322222404222289. The reversal of 322222404222241 is 142222404222223.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 288974160577600 + 33248243644641 = 16999240^2 + 5766129^2 .

It is a cyclic number.

It is not a de Polignac number, because 322222404222241 - 237 = 322084965268769 is a prime.

It is a super-2 number, since 2×3222224042222412 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 322222404222197 and 322222404222206.

It is not a weakly prime, because it can be changed into another prime (322222404222221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 161111202111120 + 161111202111121.

It is an arithmetic number, because the mean of its divisors is an integer number (161111202111121).

Almost surely, 2322222404222241 is an apocalyptic number.

It is an amenable number.

322222404222241 is a deficient number, since it is larger than the sum of its proper divisors (1).

322222404222241 is an equidigital number, since it uses as much as digits as its factorization.

322222404222241 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 98304, while the sum is 34.

Adding to 322222404222241 its reverse (142222404222223), we get a palindrome (464444808444464).

The spelling of 322222404222241 in words is "three hundred twenty-two trillion, two hundred twenty-two billion, four hundred four million, two hundred twenty-two thousand, two hundred forty-one".