Is Batman a Superhero or not?

Merriam-Webster defines superhero as "a fictional hero having extraordinary or superhuman powers ; also : an exceptionally skillful or successful person", so batman would be a super hero since he is exceptionally skillful in martial arts and also in intellect.

yes he is

Yes hes a hero.
Just like a fireman is a hero, police officers too.
Anything that saves, or anything that can be a positive role model is a hero in my eyes.

HELLS YES!

Is iron man a super hero? yes. Is green arrow a super hero? yes. And do you want to know why they're super heroes? well i'll tell you any way. It is because they have a super power... the power of money. Today in the real world, who are the most powerful people? I'll tell you who. People with money. So the more money you have, the greater your super power is. o_O

he is a superhero.
with all those super advanced technology and weapons, he saves the world all the time. thats what a superhero does.