Search a number
-
+
230222313 = 3217288513
BaseRepresentation
bin11011011100011…
…10100111101001
3121001012111122100
431232032213221
5432414103223
634502244013
75463600036
oct1556164751
9531174570
10230222313
11108a55482
1265126609
1338909529
142280c38d
1515329043
hexdb8e9e9

230222313 has 18 divisors (see below), whose sum is σ = 353259374. Its totient is φ = 144451584.

The previous prime is 230222299. The next prime is 230222327. The reversal of 230222313 is 313222032.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (230222299) and next prime (230222327).

It can be written as a sum of positive squares in 3 ways, for example, as 138579984 + 91642329 = 11772^2 + 9573^2 .

It is not a de Polignac number, because 230222313 - 25 = 230222281 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (230222383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 41656 + ... + 46857.

Almost surely, 2230222313 is an apocalyptic number.

It is an amenable number.

230222313 is a deficient number, since it is larger than the sum of its proper divisors (123037061).

230222313 is a wasteful number, since it uses less digits than its factorization.

230222313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88553 (or 88533 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 230222313 is about 15173.0785603977. The cubic root of 230222313 is about 612.8899090599.

Adding to 230222313 its reverse (313222032), we get a palindrome (543444345).

The spelling of 230222313 in words is "two hundred thirty million, two hundred twenty-two thousand, three hundred thirteen".

Divisors: 1 3 9 17 51 153 289 867 2601 88513 265539 796617 1504721 4514163 13542489 25580257 76740771 230222313