I think the term you are after is galactic year - the time it takes for the sun to rotate around the centre of the galaxy, which accordingAccording to the blog How old is the Sun in Galactic years? (Siegel, 2008), a Galactic year is about 223 million Earth years.
The age of the Sun, according to the Stanford Solar Centre's page How old is the Sun? is approximately 4.57 billion years.
This would put the sun at approximately 20.5 galactic years old.