A fitness enthusiast, Alex, uses a pedometer that records up to $99999$ steps and then rolls over to $00000$ on the next step. At the beginning of the year, Alex sets the pedometer to $00000$. During the year, the pedometer flips from $99999$ to $00000$ twelve times. On December 31, the pedometer reads $25000$. Alex takes $1750$ steps per mile. Which of the following is closest to the total number of miles Alex walked during the year?