Altair Announces Fourth Quarter and Full Year 2022 Financial Results

  (Unaudited) 
   Three Months Ended
December 31,
   Twelve Months Ended
December 31,
 
(in thousands)  2022   2021   2022   2021 
Revenue $160,433  $140,797  $572,221  $532,179 
Ending deferred revenue  144,460   106,032   144,460   106,032 
Beginning deferred revenue  (116,540)  (84,428)  (106,032)  (95,079)
Deferred revenue acquired  (449)  (3,277)  (3,047)  (3,277)
Billings $187,904    $ 159,124     $ 607,602     $ 539,855  
                                 

The following tables provide our revenue, Billings and Adjusted EBITDA on a constant currency basis:

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