Routing numbers depend on the type of transaction made such as reorder Newtown Savings Bank checks, receive incoming domestic or international wire transfers, use the number for wire transfers to your Newtown Savings Bank account, or to set up direct deposits. Please call Newtown Savings Bank representative at (203) 426-4440 for more information. 1  Routing Number: 221172296. 2  DEPOSIT OP & CASH MGMT. SVCS. 3  Phone Number: (203) 426-4440.