The number is = 2000 - zero is cosidered and even digit. The next one without zero would be 2222.
+23245 Below 100, we have:
2, 4, 6, 8, 20, 22, 24, 26, 28, 40, 42, 44, 46, 48, 60, 62, 64, 66, 68, 80, 82, 84, 86, 88 = [24]
From 200 - 300, we get 200 plus all the above numbers (prefixed with a 2) [25]
From 400 - 500 [25]
From 600 - 700 [25]
From 800 - 900 [25] = 124
From 2000 - 3000 [125]
From 4000 - 5000 [125]
From 6000 - 7000 [125]
From 8000 - 9000 [125] = 624
From 20000 - 21000 [125]
From 22000 - 23000 [125]
From 24000 - 25000 [125] = 999
26000
With a short computer code I can verify geno3141's answer. You must have the patience of Job !
n=1;a=30000;s=0;m=n;p=0;n=m;cycle:if(n%2==0 and int(n/10)%2==0 and int(n/100)%2==0 and int(n/1000)%2==0 and int(n/10000)%2==0, goto loop, goto next);loop:print", ",n,;p=p+1;next:n++;if(n<=a, goto cycle,discard=0;print">Total Num =", p
OUTPUT: =26,000 as being the 1000th integer with all of its digits EVEN.
