What Cake version are you using here?
What database server are you using?

it appears that the values are still coming across as strings. (They are 
both enclosed in single quotes)
You may want to edit your between clause and expicitly convert the values 
that you are passing in to integers.

In MySQL this is done by wrapping the value in a CONVERT() or CAST() 
function.
So your array would look like 

 [1] => Array
                (
                    ["T39_3"::integer BETWEEN CAST(? as INT) AND CAST(? as 
INT)] => Array
                        (
                            [0] => 22
                            [1] => 36
                        )

                )
Let me know if that works.

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