Search a number
eban n.  and  palindromic n.

First numbers that belong to both sets:

2, 4, 6, 44, 66, 2002, 4004, 6006, 40004, 44044, 46064, 60006, 64046, 66066, 2000002, 2002002, 2004002, 2006002, 4000004, 4002004, 4004004, 4006004, 6000006, 6002006, 6004006, 6006006, 40000004, 40044004, 40066004, 44000044, 44044044, 44066044, 46000064, 46044064, 46066064, 60000006, 60044006, 60066006, 64000046, 64044046, 64066046, 66000066, 66044066, 66066066, 2000000002, 2002002002, 2004004002, 2006006002, 4000000004, 4002002004, 4004004004, 4006006004, 6000000006, 6002002006, 6004004006, 6006006006, 40000000004, 40004040004, 40006060004, 40040004004, 40044044004, 40046064004, 40060006004, 40064046004, 40066066004, 44000000044, 44004040044, 44006060044, 44040004044, 44044044044, 44046064044, 44060006044, 44064046044, 44066066044, 46000000064, 46004040064, 46006060064, 46040004064, 46044044064, 46046064064, 46060006064, 46064046064, 46066066064, 60000000006, 60004040006, 60006060006, 60040004006, 60044044006, 60046064006, 60060006006, 60064046006, 60066066006, 64000000046, 64004040046, 64006060046, 64040004046, 64044044046, 64046064046, 64060006046, 64064046046, 64066066046, 66000000066, 66004040066, 66006060066, 66040004066, 66044044066, 66046064066, 66060006066, 66064046066, 66066066066, 2000000000002, 2000002000002, 2000004000002, 2000006000002, 2002000002002, 2002002002002, 2002004002002, 2002006002002, 2004000004002, 2004002004002, 2004004004002, 2004006004002, 2006000006002, 2006002006002, 2006004006002, 2006006006002, 4000000000004, 4000002000004, 4000004000004, 4000006000004, 4002000002004, 4002002002004, 4002004002004, 4002006002004, 4004000004004, 4004002004004, 4004004004004, 4004006004004, 4006000006004, 4006002006004, 4006004006004, 4006006006004, 6000000000006, 6000002000006, 6000004000006, 6000006000006, 6002000002006, 6002002002006, 6002004002006, 6002006002006, 6004000004006, 6004002004006, 6004004004006, 6004006004006, 6006000006006, 6006002006006, 6006004006006, 6006006006006, 40000000000004, 40000044000004, 40000066000004, 40004000040004, 40004044040004, 40004066040004, 40006000060004, 40006044060004, 40006066060004, 40040000004004, 40040044004004, 40040066004004, 40044000044004, 40044044044004, 40044066044004, 40046000064004, 40046044064004, 40046066064004, 40060000006004, 40060044006004, 40060066006004, 40064000046004, 40064044046004, 40064066046004, 40066000066004, 40066044066004, 40066066066004, 44000000000044, 44000044000044, 44000066000044, 44004000040044, 44004044040044, 44004066040044, 44006000060044, 44006044060044, 44006066060044, 44040000004044, 44040044004044, 44040066004044, 44044000044044, 44044044044044, 44044066044044, 44046000064044, 44046044064044, 44046066064044, 44060000006044, 44060044006044, 44060066006044, 44064000046044, 44064044046044, 44064066046044, 44066000066044, 44066044066044, 44066066066044, 46000000000064, 46000044000064, 46000066000064, 46004000040064, 46004044040064, 46004066040064, 46006000060064, 46006044060064, 46006066060064, 46040000004064, 46040044004064, 46040066004064, 46044000044064, 46044044044064, 46044066044064, 46046000064064, 46046044064064, 46046066064064, 46060000006064, 46060044006064, 46060066006064, 46064000046064, 46064044046064, 46064066046064, 46066000066064, 46066044066064, 46066066066064, 60000000000006, 60000044000006, 60000066000006, 60004000040006, 60004044040006, 60004066040006, 60006000060006, 60006044060006, 60006066060006, 60040000004006, 60040044004006, 60040066004006, 60044000044006, 60044044044006, 60044066044006, 60046000064006, 60046044064006, 60046066064006, 60060000006006, 60060044006006, 60060066006006, 60064000046006, 60064044046006, 60064066046006, 60066000066006, 60066044066006, 60066066066006, 64000000000046, 64000044000046, 64000066000046, 64004000040046, 64004044040046, 64004066040046, 64006000060046, 64006044060046, 64006066060046, 64040000004046, 64040044004046, 64040066004046, 64044000044046, 64044044044046.

Some larger examples :