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2222122212222 = 231121012932353
BaseRepresentation
bin100000010101100000110…
…011100001101101111110
321212102200111222100120220
4200111200303201231332
5242401401241242342
64420455010522210
7316354155104433
oct40254063415576
97772614870526
102222122212222
11787440070500
122ba7b4296366
13131711b25343
14797a0a45b8a
153cc086715ec
hex20560ce1b7e

2222122212222 has 144 divisors (see below), whose sum is σ = 4964280504624. Its totient is φ = 662545664000.

The previous prime is 2222122212203. The next prime is 2222122212223.

2222122212222 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2222122212192 and 2222122212201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2222122212223) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6294963598 + ... + 6294963950.

It is an arithmetic number, because the mean of its divisors is an integer number (34474170171).

Almost surely, 22222122212222 is an apocalyptic number.

2222122212222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2222122212222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2482140252312).

2222122212222 is an abundant number, since it is smaller than the sum of its proper divisors (2742158292402).

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

2222122212222 is a wasteful number, since it uses less digits than its factorization.

2222122212222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067 (or 763 counting only the distinct ones).

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

The spelling of 2222122212222 in words is "two trillion, two hundred twenty-two billion, one hundred twenty-two million, two hundred twelve thousand, two hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 101 121 202 242 293 303 353 363 586 606 706 726 879 1059 1111 1758 2118 2222 3223 3333 3883 6446 6666 7766 9669 11649 12221 19338 23298 24442 29593 35453 35653 36663 42713 59186 70906 71306 73326 85426 85849 88779 103429 106359 106959 128139 171698 177558 206858 212718 213918 256278 257547 310287 325523 392183 515094 620574 651046 784366 944339 976569 1137719 1176549 1888678 1953138 2275438 2353098 2833017 3413157 3580753 4314013 5666034 6826314 7161506 8628026 8670749 10387729 10446329 10742259 12514909 12942039 17341498 20775458 20892658 21484518 25029818 25884078 26012247 30304697 31163187 31338987 37544727 52024494 60609394 62326374 62677974 75089454 90914091 95378239 114909619 181828182 190756478 229819238 286134717 333351667 344728857 572269434 666703334 689457714 1000055001 1049160629 1264005809 2000110002 2098321258 2528011618 3060774397 3147481887 3666868337 3792017427 6121548794 6294963774 7333736674 7584034854 9182323191 11000605011 18364646382 22001210022 33668518367 67337036734 101005555101 202011110202 370353702037 740707404074 1111061106111 2222122212222