Search a number
-
+
22221331337 is a prime number
BaseRepresentation
bin10100101100011111…
…101001101110001001
32010100122100120222202
4110230133221232021
5331002130100322
614113000125545
71414444125362
oct245437515611
963318316882
1022221331337
1194733a9147
124381a668b5
13213196768a
14110b316b69
158a0c9d292
hex52c7e9b89

22221331337 has 2 divisors, whose sum is σ = 22221331338. Its totient is φ = 22221331336.

The previous prime is 22221331313. The next prime is 22221331361. The reversal of 22221331337 is 73313312222.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (22221331313) and next prime (22221331361).

It can be written as a sum of positive squares in only one way, i.e., 21389355001 + 831976336 = 146251^2 + 28844^2 .

It is a cyclic number.

It is not a de Polignac number, because 22221331337 - 28 = 22221331081 is a prime.

It is not a weakly prime, because it can be changed into another prime (22221331367) 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, 11110665668 + 11110665669.

It is an arithmetic number, because the mean of its divisors is an integer number (11110665669).

Almost surely, 222221331337 is an apocalyptic number.

It is an amenable number.

22221331337 is a deficient number, since it is larger than the sum of its proper divisors (1).

22221331337 is an equidigital number, since it uses as much as digits as its factorization.

22221331337 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 9072, while the sum is 29.

Adding to 22221331337 its reverse (73313312222), we get a palindrome (95534643559).

The spelling of 22221331337 in words is "twenty-two billion, two hundred twenty-one million, three hundred thirty-one thousand, three hundred thirty-seven".