Search a number
-
+
2243113993 is a prime number
BaseRepresentation
bin1000010110110011…
…0011010000001001
312210022210222221001
42011230303100021
514043214121433
61010325415001
7106405103641
oct20554632011
95708728831
102243113993
11a511a781a
1252726a461
132999486b3
14173ca1521
15d1dd657d
hex85b33409

2243113993 has 2 divisors, whose sum is σ = 2243113994. Its totient is φ = 2243113992.

The previous prime is 2243113991. The next prime is 2243114023. The reversal of 2243113993 is 3993113422.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1992461769 + 250652224 = 44637^2 + 15832^2 .

It is a cyclic number.

It is not a de Polignac number, because 2243113993 - 21 = 2243113991 is a prime.

Together with 2243113991, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2243113991) 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, 1121556996 + 1121556997.

It is an arithmetic number, because the mean of its divisors is an integer number (1121556997).

Almost surely, 22243113993 is an apocalyptic number.

It is an amenable number.

2243113993 is a deficient number, since it is larger than the sum of its proper divisors (1).

2243113993 is an equidigital number, since it uses as much as digits as its factorization.

2243113993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 34992, while the sum is 37.

The square root of 2243113993 is about 47361.5243948081. The cubic root of 2243113993 is about 1309.0325574736.

The spelling of 2243113993 in words is "two billion, two hundred forty-three million, one hundred thirteen thousand, nine hundred ninety-three".