Search a number
-
+
3322201331196 = 22331123312001999
BaseRepresentation
bin110000010110000010101…
…000010101010111111100
3102202121011220220210011000
4300112002220111113330
5413412332020044241
611022110452130300
7462010150245516
oct60260250252774
912677156823130
103322201331196
111070a35050780
12457a46606990
131b1389112977
14b6b1c826bb6
155b64104eeb6
hex30582a155fc

3322201331196 has 96 divisors (see below), whose sum is σ = 9436452480000. Its totient is φ = 1002406872960.

The previous prime is 3322201331143. The next prime is 3322201331213. The reversal of 3322201331196 is 6911331022233.

3322201331196 is a `hidden beast` number, since 3 + 32 + 2 + 201 + 331 + 1 + 96 = 666.

It is a super-2 number, since 2×33222013311962 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3322201331196.

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, 5724196 + ... + 6277803.

It is an arithmetic number, because the mean of its divisors is an integer number (98296380000).

Almost surely, 23322201331196 is an apocalyptic number.

3322201331196 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3322201331196 is an abundant number, since it is smaller than the sum of its proper divisors (6114251148804).

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

3322201331196 is a wasteful number, since it uses less digits than its factorization.

3322201331196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12002256 (or 12002248 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The spelling of 3322201331196 in words is "three trillion, three hundred twenty-two billion, two hundred one million, three hundred thirty-one thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 233 297 396 466 594 699 932 1188 1398 2097 2563 2796 4194 5126 6291 7689 8388 10252 12582 15378 23067 25164 30756 46134 69201 92268 138402 276804 12001999 24003998 36005997 48007996 72011994 108017991 132021989 144023988 216035982 264043978 324053973 396065967 432071964 528087956 648107946 792131934 1188197901 1296215892 1584263868 2376395802 2796465767 3564593703 4752791604 5592931534 7129187406 8389397301 11185863068 14258374812 16778794602 25168191903 30761123437 33557589204 50336383806 61522246874 75504575709 92283370311 100672767612 123044493748 151009151418 184566740622 276850110933 302018302836 369133481244 553700221866 830550332799 1107400443732 1661100665598 3322201331196