Search a number
-
+
2212332137 is a prime number
BaseRepresentation
bin1000001111011101…
…1000001001101001
312201011220010011022
42003313120021221
514012324112022
61003305542225
7105552340631
oct20367301151
95634803138
102212332137
11a35892974
12518aa4975
1329345b892
1416db6b6c1
15ce355c42
hex83dd8269

2212332137 has 2 divisors, whose sum is σ = 2212332138. Its totient is φ = 2212332136.

The previous prime is 2212332113. The next prime is 2212332139. The reversal of 2212332137 is 7312332122.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2132961856 + 79370281 = 46184^2 + 8909^2 .

It is a cyclic number.

It is not a de Polignac number, because 2212332137 - 28 = 2212331881 is a prime.

Together with 2212332139, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2212332139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1106166068 + 1106166069.

It is an arithmetic number, because the mean of its divisors is an integer number (1106166069).

Almost surely, 22212332137 is an apocalyptic number.

It is an amenable number.

2212332137 is a deficient number, since it is larger than the sum of its proper divisors (1).

2212332137 is an equidigital number, since it uses as much as digits as its factorization.

2212332137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3024, while the sum is 26.

The square root of 2212332137 is about 47035.4349081626. The cubic root of 2212332137 is about 1303.0170825771.

Adding to 2212332137 its reverse (7312332122), we get a palindrome (9524664259).

The spelling of 2212332137 in words is "two billion, two hundred twelve million, three hundred thirty-two thousand, one hundred thirty-seven".