hi
you say taht you use hamachi ip ??
well , problem is solved then
if you mean with domain a domain name like

then the problem is simple
you need to point your domain name to your ip with dns
els it will never go to your computer
if you use hamachi then it means that you got problems with making it public (non hamachi)
go check your firewall
if your router got a firewall , disable it
is windows firewall running ?? disable it
is dmrz open ?? then make it avaible for your ip (open all ports , whatever the firewall says)
if you cant get a outbound conection , then it is your firewall/rooter that is blocking it , nothing els blocks it (or maybe hamachi blocks it to , not sure about that because it makes a new setup for a static ip adress and have nothing to do with your lan conection :S)
Greets From The Crasher