I wouldnt get an inverter too close to that figure, but a 200w inverter should do - just check the inverter specifications to verify if the rating is actual power output - many inverter manufacturers are a little creative with their model names etc, but the real info has to be somewhere on the box.
If in doubt then the best way is to evaluate your battery system capacity and usual recharging input, and match the current drawn by an inverter to half that figure, see what power inverter size you can manage. if you buy bigger, you get more watts per dollar usually, and you may want any surplus capacity later for another item.
Also running inverters up towards their maximum often will shorten their life dramatically.
Hope this helps :)
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