A corporation creates an annuity and needs to make annual deposits for $13$ years. The annual deposits will earn interest at a rate of $4\mathrm{.}7\%$ per year, compounded annually. How much should they pay each year, in order to have $$20,000,000$ at the end of $13$ years?

Format answer rounded to $2$ decimal places, with no dollar signs, no spaces, and no commas.