Genesis 18 and 19

Genesis 18

The Son of Promise ¹ Then the LORD appeared to him by the terebinth trees of Mamre,^[a] as he was sitting in the tent door in the heat of the day. ² So he lifted his eyes and looked, and behold, three men were standing by him; and when he saw them, he ran from the tent door to meet them, and bowed himself to the ground, ³ and said, “My Lord, if I have now found favor in Your sight, do not pass on by Your servant. ⁴ Please let a little water be brought, and wash your feet, and rest yourselves under the tree. ⁵ And I will bring a morsel of bread, that you may refresh your hearts. After that you may pass by, inasmuch as you have come to your servant.”They said, “Do as you have said.” 

Abraham Intercedes for Sodom 1⁶ Then the men rose from there and looked toward Sodom, and Abraham went with them to send them on the way. ¹⁷ And the LORD said, “Shall I hide from Abraham what I am doing, ¹⁸ since Abraham shall surely become a great and mighty nation, and all the nations of the earth shall be blessed in him? ¹⁹ For I have known him, in order that he may command his children and his household after him, that they keep the way of the LORD, to do righteousness and justice, that the LORD may bring to Abraham what He has spoken to him.” ²⁰ And the LORD said, “Because the outcry against Sodom and Gomorrah is great, and because their sin is very grave, ²¹ I will go down now and see whether they have done altogether according to the outcry against it that has come to Me; and if not, I will know.”

Genesis 19  Sodom’s Depravity¹ Now the two  angels came to Sodom in the evening, and Lot was sitting in the gate of Sodom. When Lot saw them, he rose to meet them, and he bowed himself with his face toward the ground. ² And he said, “Here now, my lords, please turn in to your servant’s house and spend the night, and wash your feet; then you may rise early and go on your way.”And they said, “No, but we will spend the night in the open square.”

I just wondered what others thoughts were on Genesis 18-19. Because 3 'men' appear to Abraham but only 2 visit Lot. I read that some think it is the Godhead that Abraham sees. But don't men mean angels?

Any thoughts?