Search a number
-
+
3323000330232 = 23311371697200467
BaseRepresentation
bin110000010110110010010…
…000010001011111111000
3102202200020121101010202220
4300112302100101133320
5413421001041031412
611022322033324040
7462036021523002
oct60266220213770
912680217333686
103323000330232
111071305068560
1245802a106620
131b148580506b
14b6b969b1372
155b68b27a68c
hex305b24117f8

3323000330232 has 128 divisors (see below), whose sum is σ = 9313198007040. Its totient is φ = 979172167680.

The previous prime is 3323000330227. The next prime is 3323000330249. The reversal of 3323000330232 is 2320330003233.

It is a super-2 number, since 2×33230003302322 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16476063 + ... + 16676529.

It is an arithmetic number, because the mean of its divisors is an integer number (72759359430).

Almost surely, 23323000330232 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 3323000330232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4656599003520).

3323000330232 is an abundant number, since it is smaller than the sum of its proper divisors (5990197676808).

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

3323000330232 is a wasteful number, since it uses less digits than its factorization.

3323000330232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202221 (or 202217 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 24.

Adding to 3323000330232 its reverse (2320330003233), we get a palindrome (5643330333465).

The spelling of 3323000330232 in words is "three trillion, three hundred twenty-three billion, three hundred thirty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 37 44 66 74 88 111 132 148 222 264 296 407 444 814 888 1221 1628 1697 2442 3256 3394 4884 5091 6788 9768 10182 13576 18667 20364 37334 40728 56001 62789 74668 112002 125578 149336 188367 200467 224004 251156 376734 400934 448008 502312 601401 690679 753468 801868 1202802 1381358 1506936 1603736 2072037 2205137 2405604 2762716 4144074 4410274 4811208 5525432 6615411 7417279 8288148 8820548 13230822 14834558 16576296 17641096 22251837 26461644 29669116 44503674 52923288 59338232 81590069 89007348 163180138 178014696 244770207 326360276 340192499 489540414 652720552 680384998 979080828 1020577497 1360769996 1958161656 2041154994 2721539992 3742117489 4082309988 7484234978 8164619976 11226352467 12587122463 14968469956 22452704934 25174244926 29936939912 37761367389 44905409868 50348489852 75522734778 89810819736 100696979704 138458347093 151045469556 276916694186 302090939112 415375041279 553833388372 830750082558 1107666776744 1661500165116 3323000330232