Search a number
-
+
232205013 = 3261342089
BaseRepresentation
bin11011101011100…
…10101011010101
3121011221020101200
431311302223111
5433421030023
635012543113
75516465355
oct1565625325
9534836350
10232205013
1110a08a077
1265921a99
1339151b21
1422ba6b65
15155bb743
hexdd72ad5

232205013 has 12 divisors (see below), whose sum is σ = 335962380. Its totient is φ = 154547136.

The previous prime is 232204993. The next prime is 232205021. The reversal of 232205013 is 310502232.

It can be written as a sum of positive squares in 2 ways, for example, as 113678244 + 118526769 = 10662^2 + 10887^2 .

It is not a de Polignac number, because 232205013 - 26 = 232204949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232205053) 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 11 ways as a sum of consecutive naturals, for example, 15528 + ... + 26561.

It is an arithmetic number, because the mean of its divisors is an integer number (27996865).

Almost surely, 2232205013 is an apocalyptic number.

It is an amenable number.

232205013 is a deficient number, since it is larger than the sum of its proper divisors (103757367).

232205013 is a wasteful number, since it uses less digits than its factorization.

232205013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42708 (or 42705 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 232205013 is about 15238.2746070544. The cubic root of 232205013 is about 614.6443075073.

Adding to 232205013 its reverse (310502232), we get a palindrome (542707245).

The spelling of 232205013 in words is "two hundred thirty-two million, two hundred five thousand, thirteen".

Divisors: 1 3 9 613 1839 5517 42089 126267 378801 25800557 77401671 232205013