How do i find a two-digits number inside an integer ?

Question

for example how can i know if the number 53 is appers at a specific number like: 53488 or 153222 without usings chars, strings or arrays (maybe something with binary numbers)

Answer 1

What about this?
public class NumberExists {
     private static boolean numExists(int number, int numToFind) {
          int div = (int)Math.pow(10, Math.floor(Math.log(numToFind)/Math.log(10))+1);
          while(number > div) {
               if (((number - numToFind) % div) == 0) return true;
               number /= 10;
          return false;
     public static void main(String[] args) {
          int number = Integer.parseInt(args[0]);
          int numToFind = Integer.parseInt(args[1]);
          System.out.println("Number exists? " + numExists(number, numToFind));
}