For the following IP address with corresponding subnet mask, calculate the subnet address $($provide in CIDR notation$),$ the range of IP addresses usable by hosts in the subnet, and the broadcast address of the subnet. Show all your work with intermediate steps. You must not simply type in the final answers.

$201\mathrm{.}16\mathrm{.}209\mathrm{.}167/255\mathrm{.}255\mathrm{.}255\mathrm{.}224$