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222443121409 is a prime number
BaseRepresentation
bin1100111100101010100…
…1001010101100000001
3210021011102222101021021
43033022221022230001
512121030414341114
6250104452025441
722033230222565
oct3171251125401
9707142871237
10222443121409
1186379385523
123713b902281
1317c8cbccc82
14aaa2a4d6a5
155bbd933024
hex33caa4ab01

222443121409 has 2 divisors, whose sum is σ = 222443121410. Its totient is φ = 222443121408.

The previous prime is 222443121389. The next prime is 222443121491. The reversal of 222443121409 is 904121344222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 214387520400 + 8055601009 = 463020^2 + 89753^2 .

It is a cyclic number.

It is not a de Polignac number, because 222443121409 - 25 = 222443121377 is a prime.

It is a super-2 number, since 2×2224431214092 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (222443121499) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111221560704 + 111221560705.

It is an arithmetic number, because the mean of its divisors is an integer number (111221560705).

Almost surely, 2222443121409 is an apocalyptic number.

It is an amenable number.

222443121409 is a deficient number, since it is larger than the sum of its proper divisors (1).

222443121409 is an equidigital number, since it uses as much as digits as its factorization.

222443121409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27648, while the sum is 34.

The spelling of 222443121409 in words is "two hundred twenty-two billion, four hundred forty-three million, one hundred twenty-one thousand, four hundred nine".