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admirable n.  and  nude n.

First numbers that belong to both sets:

12, 24, 66, 88, 222, 224, 366, 672, 1266, 1362, 1488, 1626, 1662, 1888, 2212, 3126, 4172, 6126, 6366, 11166, 11226, 11262, 12124, 12162, 12666, 13326, 16122, 16266, 16662, 21162, 22362, 23262, 24384, 24448, 24724, 31362, 32322, 32622, 33126, 33162, 36222, 44144, 44212, 48112, 61266, 61626, 66162, 72212, 111126, 114212, 114772, 116322, 121772, 122444, 123126, 123666, 126366, 131226, 131622, 132162, 132222, 132666, 133626, 133662, 136326, 136362, 136662, 142772, 161166, 162366, 163266, 163626, 163662, 171724, 174412, 177212, 211326, 211362, 212622, 213126, 213162, 213222, 214172, 216222, 216366, 221226, 221262, 221322, 222124, 222126, 222366, 223662, 227444, 231366, 231666, 232266, 233166, 236226, 241444, 247772, 262266, 262326, 262662, 266226, 282224, 311226, 312126, 312162, 316266, 316326, 316362, 321162, 321666, 322662, 323166, 323322, 326166, 326226, 326262, 326622, 361626, 363126, 363162, 363666, 366162, 411124, 411184, 412244, 424172, 447244, 471212, 472724, 612366, 621366, 622122, 631266, 631362, 631662, 632166, 632622, 633162, 661326, 662622, 663162, 717724, 724444, 741412, 747124, 824848, 1111326, 1112226, 1113162, 1116222, 1121226, 1121262, 1122162, 1122666, 1122772, 1123266, 1123662, 1126122, 1126266, 1126326, 1131162, 1132122, 1132266, 1133166, 1136166, 1136262, 1136622, 1144724, 1147244, 1162362, 1162626, 1163166, 1163226, 1163262, 1163622, 1166226, 1166262, 1171772, 1211622, 1212126, 1212366, 1213122, 1213662, 1216662, 1221724, 1222172, 1222626, 1226166, 1226226, 1226262, 1226622, 1231122, 1231266, 1233222, 1236126, 1236162, 1241488, 1242724, 1261122, 1261662, 1262166, 1262622, 1263162, 1266366, 1272124, 1311126, 1311162, 1311666, 1312266, 1313322, 1316166, 1316226, 1316262, 1316622, 1322166, 1323222, 1326126, 1361226, 1361622, 1362162, 1362666, 1424444, 1441244, 1441412, 1444772, 1447124, 1472212, 1611222, 1612326, 1612626, 1612662, 1613166, 1613622, 1616262, 1616322, 1621626, 1622226, 1622622, 1623162, 1626126, 1626162, 1631166, 1633362, 1636626, 1636662, 1662126, 1666122, 1714244, 1777244, 2111322, 2112126, 2112666, 2113626, 2116266, 2116626, 2121162, 2121666, 2122122, 2122266, 2122662, 2124724, 2126226, 2126262, 2127412, 2131266, 2132166, 2144212, 2161122, 2161626, 2161662, 2163666, 2166666, 2211126, 2211412, 2216166, 2221772, 2222322.

Some larger examples :