Hey,
You are going to want to make sure that the battery is inserted properly into the device, the best way to check this is to see if the battery cap is clicked in properly. If this is not the case, then you might have a drained battery and should charge the device without any interruptions.
If the two solutions above have not worked, check the following page for more possible problems that could be causing your camera to not turn on and their solution:
[[Nikon Coolpix S33 Troubleshooting|Nikon Coolpix S33 Troubleshooting]]