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22232223222 = 23112471016451
BaseRepresentation
bin10100101101001001…
…001100110111110110
32010101101211221211220
4110231021030313312
5331012422120342
614114025411210
71414635531216
oct245511146766
963341757756
1022232223222
119479568400
124385639b06
132133cac191
14110c950246
158a1c005ec
hex52d24cdf6

22232223222 has 96 divisors (see below), whose sum is σ = 50416031232. Its totient is φ = 6527400000.

The previous prime is 22232223203. The next prime is 22232223241.

22232223222 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (22232223203) and next prime (22232223241).

It is a super-2 number, since 2×222322232222 (a number of 21 digits) contains 22 as substring.

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 = 22232223192 and 22232223201.

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 47 ways as a sum of consecutive naturals, for example, 3443097 + ... + 3449547.

It is an arithmetic number, because the mean of its divisors is an integer number (525166992).

Almost surely, 222232223222 is an apocalyptic number.

22232223222 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 22232223222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25208015616).

22232223222 is an abundant number, since it is smaller than the sum of its proper divisors (28183808010).

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

22232223222 is a wasteful number, since it uses less digits than its factorization.

22232223222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6626 (or 6615 counting only the distinct ones).

The product of its digits is 4608, while the sum is 24.

The spelling of 22232223222 in words is "twenty-two billion, two hundred thirty-two million, two hundred twenty-three thousand, two hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 47 66 94 101 121 141 202 242 282 303 363 517 606 726 1034 1111 1551 2222 3102 3333 4747 5687 6451 6666 9494 11374 12221 12902 14241 17061 19353 24442 28482 34122 36663 38706 52217 70961 73326 104434 141922 156651 212883 303197 313302 425766 574387 606394 651551 780571 909591 1148774 1303102 1561142 1723161 1819182 1954653 2341713 3335167 3446322 3909306 4683426 6670334 7167061 10005501 14334122 20011002 21501183 30622897 36686837 43002366 61245794 73373674 78837671 91868691 110060511 157675342 183737382 220121022 236513013 336851867 473026026 673703734 1010555601 2021111202 3705370537 7410741074 11116111611 22232223222