It's not the HDMI cable.
If you had a power surge, your Apple TV probably just needs to be restored. That logo means you need to plug it into a computer with iTunes installed to restore the device to factory settings. You'll need a micro-USB cable to do so. Plug the usb into the apple tv in the micro-USB slot, then into the computer with iTunes already opened. A screen will appear in iTunes with a button to restore the device.
If you don't have the appropriate cable on hand you can make an appointment at an Apple Store and they'll restore it for you. Just go to locate.apple.com to find the closest location and make an appointment. Keep in mind if you can't or don't go to an Apple Store a private repair place may charge for this service.