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Surname Badius (Bay , Bazo , Baio ) , all over the world, is a common family name. The cognomen Badius is characteristic of Denmark, where it is quite a common surname, Guinea-Bissau, and Turkey (explore the name in all countries). Measured by absolute frequency, the name is most common in Turkey, the United States, and Indonesia. Very seldom, Badius is the forename as well as the last name.