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admirable n.  and  modest n.

First numbers that belong to both sets:

222, 618, 654, 812, 822, 836, 1266, 1866, 2022, 2044, 2454, 2884, 3054, 4254, 4854, 4866, 5466, 6054, 12018, 12162, 12666, 18222, 24162, 24666, 28074, 28252, 30054, 30555, 36148, 36222, 40012, 40074, 42162, 48054, 48666, 52108, 52444, 56084, 56756, 58074, 60054, 60222, 60594, 60666, 61818, 65454, 66162, 72222, 78222, 80022, 80108, 80202, 96666, 102162, 112592, 112756, 114222, 120066, 120606, 132162, 132222, 132666, 138162, 140252, 150222, 150666, 156666, 168666, 180066, 196756, 198222, 200082, 210666, 216222, 220444, 224252, 240044, 240054, 240594, 240666, 264666, 280252, 282666, 282772, 288484, 300198, 300606, 300666, 305454, 308756, 320404, 342222, 348666, 360606, 380202, 388444, 390666, 408666, 420054, 420594, 420666, 474666, 476756, 480666, 481616, 485454, 516666, 522222, 540066, 552666, 560308, 562828, 564666, 570666, 600018, 601626, 606666, 616756, 642112, 644756, 654666, 665454, 681212, 702222, 724444, 762222, 780594, 781818, 786666, 840308, 845454, 923636, 942222, 960198, 980202, 1020594, 1020606, 1120252, 1122772, 1145454, 1160202, 1160404, 1200018, 1200054, 1200164, 1200198, 1200246, 1205454, 1242222, 1260606, 1340202, 1380606, 1381818, 1400082, 1400924, 1402828, 1440606, 1460202, 1520202, 1601584, 1602222, 1603252, 1640202, 1680594, 1681818, 1682828, 1685454, 1740198, 1763636, 1820202, 1866666, 1880396, 1920606, 1921818, 1960252, 1962772, 2000022, 2000202, 2000404, 2002002, 2009756, 2045454, 2074074, 2166666, 2285454, 2340606, 2382222, 2400054, 2400738, 2502222, 2520308, 2581818, 2585454, 2603636, 2640606, 2641818, 2684444, 2700606, 2720396, 2760594, 2800084, 2807588, 2821818, 2880606, 3000054, 3000246, 3002214, 3005454, 3060606, 3066666, 3120404, 3181818, 3201212, 3222222, 3240606, 3244444, 3282222, 3305454, 3426666, 3481818, 3540594, 3560396, 3600606, 3642222, 3642772, 3648484, 3666666, 3720594, 3721818, 3725454, 3780606, 3840594, 3841818, 3900594, 3960404, 4000026, 4000182, 4000444, 4020594, 4021818, 4043956, 4146666, 4200594, 4201818, 4214634, 4265454, 4320606, 4326666, 4385454, 4403252, 4440594, 4441818, 4480924, 4482222, 4600542, 4620606, 4625454, 4686666, 4740594, 4746666, 4762772, 4762828, 4800738, 4805454, 4843636, 4881212, 4924444, 4925454, 4964464, 4980594, 5000082, 5082222, 5101818, 5201084, 5201476, 5202222, 5204444, 5281818, 5285454, 5341818.

Some larger examples :