The average micro$-$nano plastic concentration in bottled water was about $2\mathrm{.}4\backslash$times $10^5$ particles per liter of bottled water, about $90\%$ of which were nano$-$sized particles. Assuming that each nanoparticle can be approximated as a sphere with a diameter of $100$ nm and that the average density of nanoparticles is $1\mathrm{.}2$ g$/$cm$3,$ estimate the mass of nanoparticles ingested if someone drinks $64$ fluid ounces of water per day via bottled water every day for a year. Provide your answer

is units of nanograms $($ng$).$