The worktable of an open loop positioning system is driven by a lead screw with a pitch of 4 mm. The lead screw is connected to the shaft of a stepper motor. A gear of 80 teeth mounted on the stepper motor shaft meshes with a gear of 20 teeth mounted on the lead screw. The step angle of the stepper motor is $9^\circ$. The number of pulses required to move the table by 200 mm is \(\underline{\hspace{2cm}}\). [in integer]