Flip opened a credit card account. During the first month he purchased new cloths that totaled $1,615.6 and then put the card in a desk drawer and didnt use it again. The structure of the minimum monthly payment is the interest charge plus an additional 2% of the remaining balance. If Flip only makes the minimum monthly payment, how long will it take for the remaining balance to be half the amount of Flip's original purchases?

Round your answer to the nearest tenth of a month. Only type in the number. Do not type in the word "month". Example: 17.8