In competitions such as this I've always favoured a system where scores are multiplied together instead of added together. It gives much larger scores yes but it rewards consistency as opposed to a select group of countries really liking the song. Having downloaded the spreadsheet of scores and analysed them such a system would have given a different result:
Armenia: 3.95511E+32
Belgium: 2.98675E+23
Czech Republic: 6,652,800
The Netherlands : 2.18258E+22
Azerbaijan: 2.82673E+16
Hungary: 3.41857E+17
Italy: 3.15951E+16
Israel: 9.32962E+19
Bulgaria: 2.85403E+42
Sweden: 3.19954E+34
Germany: 54
France: 1.47572E+37
Poland: 2.49276E+30
Australia: 3.62273E+63
Cyprus: 255,638,450,995,200
Serbia: 19,704,965,061,600
Lithuania: 1.28412E+28
Croatia: 70,413,235,200
Russia: 2.46503E+56
Spain: 2,445,520,896,000
Latvia: 2.03555E+19
Ukraine: 1.2476E+60
Malta: 1.05506E+21
Georgia: 124,281,371,934,720
Austria: 2.11279E+23
United Kingdom: 1,886,976,000
This would have given in case you can't see:
1: Australia (+1)
2: Ukraine (-1)
3: Russia
4: Bulgaria
5: France (+1)
6: Sweden (-1)
7: Armenia
8: Poland
9: Lithuania
10: Belgium
11: Austria (+2)
12: The Netherlands (-1)
13: Malta (-1)
14: Isreal
15: Latvia
16: Hungary (+3)
17: Italy (-1)
18: Azerbaijan (-1)
19: Cyprus (+2)
20: Geogia
21: Serbia (-3)
22: Spain
23: Croatia
24: UK
25: Czech Republic
26: Germany