The torque provided by an engine is given by T(θ) = 12000 + 2500 sin (2θ) N.m, where θ is the angle turned by the crank from the inner dead centre. The mean speed of the engine is 200 rpm and it drives a machine that provides constant resisting torque. If variation of the speed from the mean speed is not to exceed ±0.5%, the minimum mass moment of inertia of the flywheel should be ________ kg.m² (round off to the nearest integer).