Search a number
-
+
223140289 is a prime number
BaseRepresentation
bin11010100110011…
…01100111000001
3120112212200221011
431103031213001
5424110442124
634050400521
75346442531
oct1523154701
9515780834
10223140289
11104a58669
1262890141
13372c9b98
14218c74c1
15148ca994
hexd4cd9c1

223140289 has 2 divisors, whose sum is σ = 223140290. Its totient is φ = 223140288.

The previous prime is 223140277. The next prime is 223140299. The reversal of 223140289 is 982041322.

223140289 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 204261264 + 18879025 = 14292^2 + 4345^2 .

It is a cyclic number.

It is not a de Polignac number, because 223140289 - 219 = 222616001 is a prime.

It is a super-3 number, since 3×2231402893 (a number of 26 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 223140289.

It is not a weakly prime, because it can be changed into another prime (223140259) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111570144 + 111570145.

It is an arithmetic number, because the mean of its divisors is an integer number (111570145).

Almost surely, 2223140289 is an apocalyptic number.

It is an amenable number.

223140289 is a deficient number, since it is larger than the sum of its proper divisors (1).

223140289 is an equidigital number, since it uses as much as digits as its factorization.

223140289 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 223140289 is about 14937.8810076932. The cubic root of 223140289 is about 606.5398372648.

The spelling of 223140289 in words is "two hundred twenty-three million, one hundred forty thousand, two hundred eighty-nine".