Notches And Holes
Sec. 2326.12.4. Notches and holes. Notching at the ends of rafters or ceiling joists shall not exceed one sixth the depth and shall not be located in the middle one third of the span, except that a notch not exceeding one third of the depth is permitted in the top of the rafter or ceiling joist not further from the face of the support than the depth of the member.
Holes bored in rafters or ceiling joists shall not be within 2 inches (51 mm) of the top and bottom and their diameter shall not exceed one third the depth og the member.

Notice 1/3 of joist size for maximum hole size and 2" minimum wood remaining over and under hole. With the wall underneath the header joist, You need to find if it (wall) is bearing or not. The double joist has definitely been weakened from the hole being too close to the bottom edge, -2". You really need a Contractor or Structural Engineer to evaluate this as it is impossible over the internet. They would see: why the double header joist if a wall below; if wall below has bearing to footing under building; read the hanger label for verification of it's proper use; check the point loads on the ends of the header joist for bearing to ground; and have a solution to fix the hole in header joist to gain full bearing.
Could you post: 1. pic of exterior wall from 6' away in basement under hole? 2. pic of wall 10' away from basement same area, wider shot?
There are only a couple of reasons to use a header floor joist above on an exterior basement wall. If the ceiling height is low, use header to carry floor over a window. (eliminates the window header below floor line) And, there may be a bump-out in the foundation which now has a framed wall dividing it.
Be safe, Gary