A $2\%$ sewage sample (in distilled water) was incubated for $3$ days at $27^{\circ}C$ temperature. After incubation, a dissolved oxygen depletion of $10\:mg/L$ was recorded. The biochemical oxygen demand $\text{(BOD)}$ rate constant at $27^{\circ}C$ was found to be $0.23\:day^{-1}$ (at base $e$).
The ultimate $\text{BOD}$ (in $mg/L$) of the sewage will be __________________ (round off to the nearest integer)