Search a number
-
+
2221233041 is a prime number
BaseRepresentation
bin1000010001100101…
…0101001110010001
312201210122022220102
42010121111032101
514022113424131
61004224422145
7106021112036
oct20431251621
95653568812
102221233041
11a3a912295
1251ba77955
132952570a1
1417100738d
15d00131cb
hex84655391

2221233041 has 2 divisors, whose sum is σ = 2221233042. Its totient is φ = 2221233040.

The previous prime is 2221233031. The next prime is 2221233059. The reversal of 2221233041 is 1403321222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1463827600 + 757405441 = 38260^2 + 27521^2 .

It is a cyclic number.

It is not a de Polignac number, because 2221233041 - 218 = 2220970897 is a prime.

It is not a weakly prime, because it can be changed into another prime (2221233031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1110616520 + 1110616521.

It is an arithmetic number, because the mean of its divisors is an integer number (1110616521).

Almost surely, 22221233041 is an apocalyptic number.

It is an amenable number.

2221233041 is a deficient number, since it is larger than the sum of its proper divisors (1).

2221233041 is an equidigital number, since it uses as much as digits as its factorization.

2221233041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 2221233041 is about 47129.9590600289. The cubic root of 2221233041 is about 1304.7622259750.

Adding to 2221233041 its reverse (1403321222), we get a palindrome (3624554263).

The spelling of 2221233041 in words is "two billion, two hundred twenty-one million, two hundred thirty-three thousand, forty-one".