In the small hamlet of Abaze, two base systems are in common use. Also, everyone speaks the truth. One resident said, "26 people use my base, base 10, and only 22 people speak base 14." (Note that all four of the numbers 26, 10, 22, and 14 are to be interpreted in this resident's base, not base ten.) Another said, "Of the 25 residents, 13 are bilingual and 1 can't use either base." (Again, all these numbers are to be interpreted in this resident's base, not base ten.) How many residents are there? Express the answer in base ten.