* India snares $22 bln in private fund raisings - Pitchbook * China clampdown spurs some investors to turn to India - analysts * 2021 India IPO pipeline includes $2.2 bln float by Paytm * Zomato, Swiggy, Flipkart buoy capital raisings this month HONG KONG, July 30 (Reuters) - Cash-laden investors are set to step up the hunt for Indian firms, mainly tech start-ups, likely to benefit in the post-pandemic world, after pumping in a record $30 billion via public and private equity deals this year, bankers and analysts said. Eyeing India’s large middle class with access to cheap smartphones and the internet, global investors have flocked to online platforms in the country and helped swell the ranks of unicorns, or start-ups valued at $1 billion or above.