Search a number
-
+
33323323022232 = 233174119219103651
BaseRepresentation
bin1111001001110101100001…
…10101001101101110011000
311100222200022200021100110120
413210322300311031232120
513331432131143202412
6154512305005113240
710006350003112215
oct744726065155630
9140880280240416
1033323323022232
11a688384121911
1238a2349558820
1315794b6a58909
14832c00b5ab0c
153cbc39546b8c
hex1e4eb0d4db98

33323323022232 has 128 divisors (see below), whose sum is σ = 90365803718400. Its totient is φ = 10198761984000.

The previous prime is 33323323022203. The next prime is 33323323022267. The reversal of 33323323022232 is 23222032332333.

It is a super-2 number, since 2×333233230222322 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33323323022193 and 33323323022202.

It is a congruent number.

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, 321443607 + ... + 321547257.

It is an arithmetic number, because the mean of its divisors is an integer number (705982841550).

Almost surely, 233323323022232 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 33323323022232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45182901859200).

33323323022232 is an abundant number, since it is smaller than the sum of its proper divisors (57042480696168).

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

33323323022232 is a wasteful number, since it uses less digits than its factorization.

33323323022232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122937 (or 122933 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 33.

Adding to 33323323022232 its reverse (23222032332333), we get a palindrome (56545355354565).

The spelling of 33323323022232 in words is "thirty-three trillion, three hundred twenty-three billion, three hundred twenty-three million, twenty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 41 51 68 82 102 123 136 164 204 246 328 408 492 697 984 1394 2091 2788 4182 5576 8364 16728 19219 38438 57657 76876 103651 115314 153752 207302 230628 310953 326723 414604 461256 621906 653446 787979 829208 980169 1243812 1306892 1575958 1762067 1960338 2363937 2487624 2613784 3151916 3524134 3920676 4249691 4727874 5286201 6303832 7048268 7841352 8499382 9455748 10572402 12749073 13395643 14096536 16998764 18911496 21144804 25498146 26791286 33997528 40186929 42289608 50996292 53582572 72244747 80373858 101992584 107165144 144489494 160747716 216734241 288978988 321495432 433468482 577957976 866936964 1733873928 1992068569 3984137138 5976205707 7968274276 11952411414 15936548552 23904822828 33865165673 47809645656 67730331346 81674811329 101595497019 135460662692 163349622658 203190994038 245024433987 270921325384 326699245316 406381988076 490048867974 653398490632 812763976152 980097735948 1388471792593 1960195471896 2776943585186 4165415377779 5553887170372 8330830755558 11107774340744 16661661511116 33323323022232