$22,782 seems to be higher than the $20,576 listed at https://financialaid.berkeley.edu/how-aid-works/student-budgets-cost-of-attendance/ .
The prices do vary, and the prices for various options are listed at https://housing.berkeley.edu/rates-contracts-policies/rates/
Cheapest nearby room and board is probably the BSC co-op houses, at $4,131 per semester or $8,262 per academic year (including food): Academic Year Rates | Berkeley Student Cooperative . Some of the BSC apartments may be lower (as low as $5,166 per academic year, but not including food) if the student eats very inexpensively. But wait lists to get into the BSC are long, and a student who applies before frosh year may not get an offer until second or third year.
Off-campus apartments are likely to be more competitive to get because the area is already built up and campus enrollment has increased over the years.