Opener Tamim posted his third successive half-century and Shakib made his second in succession to help Bangladesh post 216/9 on a tricky wicket before the latter finished with 3/34 to dismiss Zimbabwe for just 125 in 36.3 overs.
Iyer will join the Indian team for the ODI series as he showed signs of full fitness with a sterling 79 not out to lead Mumbai to 198/4 before going down to Punjab by three wickets in their Syed Mushtaq Ali Trophy T20 fixture.
After being thumped 4-0 in the Ashes Test series, England's limited-overs players produced a stunning turnaround to beat the Australians three times in a week, outplaying the home team both when chasing and defending big totals.
Martin Guptill made a superb hundred and Ross Taylor chipped in with a half-century as New Zealand made 271 for seven from its 50 overs.
New Zealand's unbeaten record at home this season was under threat until De Grandhomme went to the crease at No. 7 and hit a 74 not out to help the Kiwis extend their winning streak.
Australia, who are trailing 0-1 in the five-match series, will play their second ODI against England on January 19 at the Gabba.
Trent Boult's five-wicket hall wrapped up Pakistan for 74 runs (all-out) as the Black Caps win the five-match series 3-0.
The hosts had a revised target of 151 from 25 overs under the Duckworth-Lewis system after rain interrupted the play for two hours, Guptill (86 not out) and Taylor (45 not out) guided the Kiwis home with seven balls remaining.
New Zealand skipper Kane Williamson reached his 10th ODI century from 106 balls to lead his team to a record total at the Basin Reserve.
The hosts have also included the spin duo of Mitchell Santner and Todd Astle in the squad announced on Monday by national selector Gavin Larsen.
Santner took 3/15 from five overs and Boult had 3/18 as West Indies' run chase crumbled.
New Zealand won the first match by five wickets, before claiming the second match by 204 runs. The hosts also swept the Test series between the teams 2-0.
The third ODI will be a dead rubber with New Zealand having already sealed the series 2-0 but there are enough reasons for the Windies to try their bench strength and make something out of it.
Azhar Ali and all-rounders Aamir Yamin and Mohammad Nawaz made a comeback to the Pakistan squad for the five-match ODI series against New Zealand.
Trent Boult bagged a career best of seven wickets as he ripped pas the West Indies batting line-up, handing them a huge loss of 204 runs.
The left-handed batsman scored just 22 runs in the first ODI match at Whangarei and did not field during New Zealand's innings.
The fast bowler has been sidelined for four weeks due to a stress fracture of the foot.
Bracewell went on to take 4/55, including the first and last wickets of the innings, as the West Indies were held to 248/9 in 50 overs after losing the toss.
Shikhar Dhawan scored his 12th ODI hundred as India beat Sri Lanka by eight wickets with 107 balls remaining in the third and final one-day international on Sunday in Vizag. India won the three-match series 2-1.
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