Alicia Keys had a lot to smile about on her 29th birthday Jan. 25: an engagement ring from her producer beau, Swizz Beatz! Alicia Keys is off the market. She’s been off the market for at least a year, but now the star is REALLY off the market. is reporting Alicia got engaged to producer/rapper Swizz Beatz over the weekend. The site’s got a ring pic to prove it. No word from R&B singer Mashonda, the influential producer’s outspoken ex. Still, we think “No One” can get in the way of how Alicia feels about her man…

A pal tells that Beatz, 31 (who is currently divorcing wife Mashonda), proposed with a 7-carat sparkler right before her big day; the happy couple were photographed strolling on a Hawaii beach the day of the proposal, Jan. 24.

Keys’ rep denies she is engaged, but another friend reveals, “They are currently in Hawaii celebrating the engagement and her birthday. She feels blessed.” Adds the pal: “She is thrilled. She is with the man who has inspired so much of her music and her new album [The Element of Freedom].”

Swizz is equally smitten with Keys. “What we have is so precious,” he gushed to the New York Daily News last year.