Search a number
-
+
33031214000 = 2453149199557
BaseRepresentation
bin11110110000110100…
…000101001110110000
310011021000001112021022
4132300310011032300
51020121442322000
623101353315012
72246354454311
oct366064051660
9104230045238
1033031214000
1113010293a74
12649a105a68
133165388055
141854c58608
15cd4cd6585
hex7b0d053b0

33031214000 has 160 divisors (see below), whose sum is σ = 80954640000. Its totient is φ = 13034419200.

The previous prime is 33031213967. The next prime is 33031214033. The reversal of 33031214000 is 41213033.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (33031213967) and next prime (33031214033).

It is a super-2 number, since 2×330312140002 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33031214000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59301722 + ... + 59302278.

It is an arithmetic number, because the mean of its divisors is an integer number (505966500).

Almost surely, 233031214000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33031214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40477320000).

33031214000 is an abundant number, since it is smaller than the sum of its proper divisors (47923426000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

33031214000 is a wasteful number, since it uses less digits than its factorization.

33031214000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 928 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 33031214000 its reverse (41213033), we get a palindrome (33072427033).

The spelling of 33031214000 in words is "thirty-three billion, thirty-one million, two hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 149 199 200 250 298 398 400 500 557 596 745 796 995 1000 1114 1192 1490 1592 1990 2000 2228 2384 2785 2980 3184 3725 3980 4456 4975 5570 5960 7450 7960 8912 9950 11140 11920 13925 14900 15920 18625 19900 22280 24875 27850 29651 29800 37250 39800 44560 49750 55700 59302 59600 69625 74500 79600 82993 99500 110843 111400 118604 139250 148255 149000 165986 199000 221686 222800 237208 278500 296510 298000 331972 398000 414965 443372 474416 554215 557000 593020 663944 741275 829930 886744 1108430 1114000 1186040 1327888 1482550 1659860 1773488 2074825 2216860 2372080 2771075 2965100 3319720 3706375 4149650 4433720 5542150 5930200 6639440 7412750 8299300 8867440 10374125 11084300 11860400 13855375 14825500 16515607 16598600 20748250 22168600 27710750 29651000 33031214 33197200 41496500 44337200 55421500 59302000 66062428 82578035 82993000 110843000 132124856 165156070 165986000 221686000 264249712 330312140 412890175 660624280 825780350 1321248560 1651560700 2064450875 3303121400 4128901750 6606242800 8257803500 16515607000 33031214000