Your client has been given a trust fund valued at $$1\mathrm{.}16$ million. He cannot access the money until he turns $65$ years old, which is in $25$ years. At that time, he can withdraw $$22,000$ per month.

If the trust fund is invested at a $4\mathrm{.}5$ percent rate, how many months will it last your client once he starts to withdraw the money?

Note: Assume annual compounding. Do not round intermediate calculations and round your final answer to $2$ decimal places.

Number of months