Search a number
-
+
33233011332 = 22329413975867
BaseRepresentation
bin11110111100110101…
…111000001010000100
310011210001202220011120
4132330311320022010
51021030122330312
623133402433540
72254354635603
oct367465701204
9104701686146
1033233011332
1113104194324
1265358028b0
133198121461
141873987a3a
15ce789828c
hex7bcd78284

33233011332 has 96 divisors (see below), whose sum is σ = 82395169920. Its totient is φ = 10406753280.

The previous prime is 33233011327. The next prime is 33233011387. The reversal of 33233011332 is 23311033233.

It is a super-2 number, since 2×332330113322 (a number of 22 digits) contains 22 as substring.

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, 5661463 + ... + 5667329.

It is an arithmetic number, because the mean of its divisors is an integer number (858283020).

Almost surely, 233233011332 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 33233011332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41197584960).

33233011332 is an abundant number, since it is smaller than the sum of its proper divisors (49162158588).

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

33233011332 is a wasteful number, since it uses less digits than its factorization.

33233011332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6341 (or 6339 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 33233011332 its reverse (23311033233), we get a palindrome (56544044565).

The spelling of 33233011332 in words is "thirty-three billion, two hundred thirty-three million, eleven thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 29 41 58 82 87 116 123 164 174 246 348 397 492 794 1189 1191 1588 2378 2382 3567 4756 4764 5867 7134 11513 11734 14268 16277 17601 23026 23468 32554 34539 35202 46052 48831 65108 69078 70404 97662 138156 170143 195324 240547 340286 472033 481094 510429 680572 721641 944066 962188 1020858 1416099 1443282 1888132 2041716 2329199 2832198 2886564 4658398 5664396 6975863 6987597 9316796 13951726 13975194 20927589 27903452 27950388 41855178 67546771 83710356 95497159 135093542 190994318 202640313 270187084 286491477 381988636 405280626 572982954 810561252 1145965908 2769417611 5538835222 8308252833 11077670444 16616505666 33233011332