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apocalyptic n.  and  nialpdrome

First numbers that belong to both sets:

220, 222, 411, 443, 540, 541, 610, 620, 650, 660, 662, 664, 666, 700, 720, 800, 820, 822, 840, 841, 842, 844, 850, 861, 864, 865, 866, 871, 873, 875, 882, 884, 920, 922, 931, 970, 972, 975, 977, 981, 983, 985, 994, 2000, 2200, 2210, 2222, 3000, 3100, 3110, 3210, 3211, 3221, 3300, 3310, 3311, 3320, 3321, 3322, 3330, 3331, 3332, 3333, 4000, 4100, 4200, 4211, 4220, 4221, 4222, 4300, 4310, 4320, 4321, 4322, 4331, 4333, 4410, 4411, 4420, 4421, 4422, 4430, 4431, 4433, 4440, 4441, 4442, 4443, 5100, 5110, 5111, 5200, 5210, 5300, 5311, 5321, 5322, 5330, 5332, 5333, 5400, 5410, 5411, 5420, 5421, 5422, 5431, 5433, 5440, 5441, 5442, 5443, 5444, 5500, 5510, 5520, 5521, 5522, 5530, 5531, 5532, 5533, 5540, 5541, 5542, 5544, 5550, 5551, 5552, 5554, 5555, 6000, 6100, 6110, 6111, 6200, 6210, 6211, 6220, 6221, 6222, 6310, 6311, 6320, 6321, 6322, 6330, 6331, 6332, 6333, 6400, 6410, 6411, 6420, 6430, 6431, 6432, 6433, 6440, 6442, 6443, 6444, 6500, 6510, 6520, 6521, 6522, 6531, 6533, 6540, 6541, 6542, 6543, 6544, 6551, 6553, 6554, 6555, 6610, 6611, 6620, 6630, 6631, 6632, 6633, 6640, 6641, 6642, 6643, 6644, 6650, 6652, 6653, 6654, 6661, 6662, 6663, 6664, 6666, 7000, 7100, 7211, 7221, 7222, 7300, 7310, 7311, 7320, 7321, 7322, 7330, 7331, 7332, 7333, 7410, 7411, 7421, 7422, 7430, 7431, 7432, 7433, 7440, 7441, 7442, 7443, 7444, 7500, 7510, 7511, 7520, 7521, 7522, 7530, 7531, 7532, 7540, 7541, 7542, 7544, 7550, 7552, 7554, 7555, 7600, 7610, 7611, 7621, 7622, 7630, 7631, 7632, 7633, 7640, 7641, 7642, 7643, 7644, 7650, 7651, 7652, 7653, 7655, 7660, 7661, 7663, 7664, 7665, 7666, 7700, 7710, 7711, 7722, 7730, 7731, 7732, 7733, 7740, 7742.

Some larger examples :