Search a number
-
+
22212330440033 is a prime number
BaseRepresentation
bin1010000110011101101100…
…00100001100010101100001
32220122110220111111021222102
411003032312010030111201
510402411323043040113
6115124112001220145
74451534153340506
oct503166604142541
986573814437872
1022212330440033
117094218506128
1225a8a94631655
13c517c95c6c26
1456b1226654ad
15287bd8a7b758
hex1433b610c561

22212330440033 has 2 divisors, whose sum is σ = 22212330440034. Its totient is φ = 22212330440032.

The previous prime is 22212330440029. The next prime is 22212330440089. The reversal of 22212330440033 is 33004403321222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 22168493805649 + 43836634384 = 4708343^2 + 209372^2 .

It is a cyclic number.

It is not a de Polignac number, because 22212330440033 - 22 = 22212330440029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22212330439978 and 22212330440005.

It is not a weakly prime, because it can be changed into another prime (22212330442033) 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, 11106165220016 + 11106165220017.

It is an arithmetic number, because the mean of its divisors is an integer number (11106165220017).

Almost surely, 222212330440033 is an apocalyptic number.

It is an amenable number.

22212330440033 is a deficient number, since it is larger than the sum of its proper divisors (1).

22212330440033 is an equidigital number, since it uses as much as digits as its factorization.

22212330440033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20736, while the sum is 29.

Adding to 22212330440033 its reverse (33004403321222), we get a palindrome (55216733761255).

The spelling of 22212330440033 in words is "twenty-two trillion, two hundred twelve billion, three hundred thirty million, four hundred forty thousand, thirty-three".