An X-rated selfie allegedly taken by a Hamptons school superintendent is making the rounds on campus, and is now part of an official investigation into the reputed Lothario, sources told The Post.

The purported image of Southampton schools boss Scott Farina — who declared bankruptcy after a bruising divorce last year — was leaked by a betrayed girlfriend, sources said.

The Southampton Board of Education launched an investigation on Feb. 11 into a wide range of alleged misconduct by Farina, and is expected to wrap up the probe in a few weeks.

Sources said investigators have been interviewing staffers about allegations of financial misconduct and favoritism against Farina, who makes roughly $234,000 a year.

But his attorney, Steve Politi, said most of the claims against his client were made up by the ex-lover.

“My client didn’t send any pictures to this lady,” he said. “Dr. Farina did nothing wrong here, professionally or personally.”