Search a number
-
+
214042337 is a prime number
BaseRepresentation
bin11001100001000…
…00011011100001
3112220202110212222
430300200123201
5414243323322
633123400425
75206221065
oct1460403341
9486673788
10214042337
11aa9041a3
125b823115
1335462a92
14205d9aa5
1513bcee42
hexcc206e1

214042337 has 2 divisors, whose sum is σ = 214042338. Its totient is φ = 214042336.

The previous prime is 214042327. The next prime is 214042357. The reversal of 214042337 is 733240412.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 187991521 + 26050816 = 13711^2 + 5104^2 .

It is a cyclic number.

It is not a de Polignac number, because 214042337 - 216 = 213976801 is a prime.

It is not a weakly prime, because it can be changed into another prime (214042307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 107021168 + 107021169.

It is an arithmetic number, because the mean of its divisors is an integer number (107021169).

Almost surely, 2214042337 is an apocalyptic number.

It is an amenable number.

214042337 is a deficient number, since it is larger than the sum of its proper divisors (1).

214042337 is an equidigital number, since it uses as much as digits as its factorization.

214042337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4032, while the sum is 26.

The square root of 214042337 is about 14630.1858156347. The cubic root of 214042337 is about 598.1818451608.

Adding to 214042337 its reverse (733240412), we get a palindrome (947282749).

The spelling of 214042337 in words is "two hundred fourteen million, forty-two thousand, three hundred thirty-seven".