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2002222202022 = 2327241317208001
BaseRepresentation
bin11101001000101101101…
…111100011110010100110
321002102002022022102001200
4131020231233203302212
5230301022340431042
64131450322303330
7264440634624120
oct35105557436246
97072068272050
102002222202022
11702157265089
122840641b7b46
13116a68a6a503
146cc9da6a210
1537138132c4c
hex1d22dbe3ca6

2002222202022 has 96 divisors (see below), whose sum is σ = 4994184596544. Its totient is φ = 567889920000.

The previous prime is 2002222202011. The next prime is 2002222202027. The reversal of 2002222202022 is 2202022222002.

2002222202022 is a `hidden beast` number, since 20 + 0 + 222 + 220 + 202 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2002222201986 and 2002222202004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002222202027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9522022 + ... + 9730022.

It is an arithmetic number, because the mean of its divisors is an integer number (52022756214).

Almost surely, 22002222202022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002222202022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2497092298272).

2002222202022 is an abundant number, since it is smaller than the sum of its proper divisors (2991962394522).

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

2002222202022 is a wasteful number, since it uses less digits than its factorization.

2002222202022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208574 (or 208571 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 2002222202022 its reverse (2202022222002), we get a palindrome (4204244424024).

The spelling of 2002222202022 in words is "two trillion, two billion, two hundred twenty-two million, two hundred two thousand, twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 241 317 482 634 723 951 1446 1687 1902 2169 2219 2853 3374 4338 4438 5061 5706 6657 10122 13314 15183 19971 30366 39942 76397 152794 208001 229191 416002 458382 534779 624003 687573 1069558 1248006 1375146 1456007 1604337 1872009 2912014 3208674 3744018 4368021 4813011 8736042 9626022 13104063 26208126 50128241 65936317 100256482 131872634 150384723 197808951 300769446 350897687 395617902 451154169 461554219 593426853 701795374 902308338 923108438 1052693061 1186853706 1384662657 2105386122 2769325314 3158079183 4153987971 6316158366 8307975942 15890652397 31781304794 47671957191 95343914382 111234566779 143015871573 222469133558 286031743146 333703700337 667407400674 1001111101011 2002222202022