Search a number
-
+
242054209 is a prime number
BaseRepresentation
bin11100110110101…
…11010001000001
3121212110121221201
432123113101001
5443431213314
640004021201
75666266255
oct1633272101
9555417851
10242054209
111146a6a01
1269091801
133b1bcb57
142420c265
15163b4b74
hexe6d7441

242054209 has 2 divisors, whose sum is σ = 242054210. Its totient is φ = 242054208.

The previous prime is 242054207. The next prime is 242054237. The reversal of 242054209 is 902450242.

242054209 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (242054237) can be obtained adding 242054209 to its sum of digits (28).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 186923584 + 55130625 = 13672^2 + 7425^2 .

It is a cyclic number.

It is not a de Polignac number, because 242054209 - 21 = 242054207 is a prime.

Together with 242054207, it forms a pair of twin primes.

It is equal to p13268071 and since 242054209 and 13268071 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (242054207) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 121027104 + 121027105.

It is an arithmetic number, because the mean of its divisors is an integer number (121027105).

Almost surely, 2242054209 is an apocalyptic number.

It is an amenable number.

242054209 is a deficient number, since it is larger than the sum of its proper divisors (1).

242054209 is an equidigital number, since it uses as much as digits as its factorization.

242054209 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 242054209 is about 15558.0914317920. The cubic root of 242054209 is about 623.2144956964.

The spelling of 242054209 in words is "two hundred forty-two million, fifty-four thousand, two hundred nine".