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220221222122022 = 231121013003316997
BaseRepresentation
bin110010000100101000111111…
…101101110111001000100110
31001212201221110121112202012220
4302010220333231313020212
5212331101030330401042
62100212122141253210
764246313115343332
oct6204507755671046
91055657417482186
10220221222122022
1164195328806a00
1220848421864206
1395b5a06508124
143c54a9a6967c2
151a6d6d55708ec
hexc84a3fb77226

220221222122022 has 48 divisors (see below), whose sum is σ = 488915980738416. Its totient is φ = 66072973912000.

The previous prime is 220221222122021. The next prime is 220221222122089.

220221222122022 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 220221222121983 and 220221222122001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220221222122021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1501585173 + ... + 1501731824.

It is an arithmetic number, because the mean of its divisors is an integer number (10185749598717).

Almost surely, 2220221222122022 is an apocalyptic number.

220221222122022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

220221222122022 is an abundant number, since it is smaller than the sum of its proper divisors (268694758616394).

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

220221222122022 is a wasteful number, since it uses less digits than its factorization.

220221222122022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3003317125 (or 3003317114 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The spelling of 220221222122022 in words is "two hundred twenty trillion, two hundred twenty-one billion, two hundred twenty-two million, one hundred twenty-two thousand, twenty-two".

Divisors: 1 2 3 6 11 22 33 66 101 121 202 242 303 363 606 726 1111 2222 3333 6666 12221 24442 36663 73326 3003316997 6006633994 9009950991 18019901982 33036486967 66072973934 99109460901 198218921802 303335016697 363401356637 606670033394 726802713274 910005050091 1090204069911 1820010100182 2180408139822 3336685183667 6673370367334 10010055551001 20020111102002 36703537020337 73407074040674 110110611061011 220221222122022