the closest co-working space to Bloomingdale is at WeWork, 641 S St NW

See this tweet:

WDCEP @WDCEP

Check out more than 50 co-working spaces in #DC that offer everything from individual offices to hourly workstations: http://arcg.is/1K11Vbz 

9:45 AM - 3 Aug 2015

#25 on the map above is:

WeWork
641 S St NW
www.wework.com

641 S St NW

www.wework.com