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2002222020222 = 2322397421118429
BaseRepresentation
bin11101001000101101101…
…110110111011001111110
321002102002021222011200100
4131020231232313121332
5230301022314121342
64131450314341530
7264440633236104
oct35105556673176
97072067864610
102002222020222
11702157150536
1228406412a8a6
13116a68a05838
146cc9da1dc74
15371380e8e4c
hex1d22dbb767e

2002222020222 has 96 divisors (see below), whose sum is σ = 4584332450880. Its totient is φ = 630302238720.

The previous prime is 2002222020209. The next prime is 2002222020233. The reversal of 2002222020222 is 2220202222002.

2002222020222 is a `hidden beast` number, since 20 + 0 + 222 + 202 + 0 + 222 = 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 = 2002222020195 and 2002222020204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16847304 + ... + 16965732.

It is an arithmetic number, because the mean of its divisors is an integer number (47753463030).

Almost surely, 22002222020222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002222020222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2292166225440).

2002222020222 is an abundant number, since it is smaller than the sum of its proper divisors (2582110430658).

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

2002222020222 is a wasteful number, since it uses less digits than its factorization.

2002222020222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118978 (or 118975 counting only the distinct ones).

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

Adding to 2002222020222 its reverse (2220202222002), we get a palindrome (4222424242224).

It can be divided in two parts, 2002 and 222020222, that multiplied together give a palindrome (444484484444).

The spelling of 2002222020222 in words is "two trillion, two billion, two hundred twenty-two million, twenty thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 23 46 69 97 138 194 207 291 414 421 582 842 873 1263 1746 2231 2526 3789 4462 6693 7578 9683 13386 19366 20079 29049 40158 40837 58098 81674 87147 118429 122511 174294 236858 245022 355287 367533 710574 735066 939251 1065861 1878502 2131722 2723867 2817753 5447734 5635506 8171601 8453259 11487613 16343202 16906518 22975226 24514803 34462839 49029606 49858609 68925678 99717218 103388517 149575827 206777034 264215099 299151654 448727481 528430198 792645297 897454962 1146748007 1585290594 2293496014 2377935891 3440244021 4755871782 4836285073 6880488042 9672570146 10320732063 14508855219 20641464126 29017710438 43526565657 87053131314 111234556679 222469113358 333703670037 667407340074 1001111010111 2002222020222