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222112112004 = 2232236113732099
BaseRepresentation
bin1100111011011011101…
…0011101110110000100
3210020022101010100201200
43032312322131312010
512114341200041004
6250011545222500
722022100541566
oct3166672356604
9706271110650
10222112112004
1186219551232
1237068a91a30
1317c39465913
14aa70ac7336
155b9e84b239
hex33b6e9dd84

222112112004 has 144 divisors (see below), whose sum is σ = 599830358400. Its totient is φ = 69146795520.

The previous prime is 222112111931. The next prime is 222112112023. The reversal of 222112112004 is 400211211222.

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

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, 6903547 + ... + 6935645.

It is an arithmetic number, because the mean of its divisors is an integer number (4165488600).

Almost surely, 2222112112004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222112112004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299915179200).

222112112004 is an abundant number, since it is smaller than the sum of its proper divisors (377718246396).

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

222112112004 is a wasteful number, since it uses less digits than its factorization.

222112112004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32330 (or 32325 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 222112112004 its reverse (400211211222), we get a palindrome (622323323226).

The spelling of 222112112004 in words is "two hundred twenty-two billion, one hundred twelve million, one hundred twelve thousand, four".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 61 69 92 122 137 138 183 207 244 274 276 366 411 414 548 549 732 822 828 1098 1233 1403 1644 2196 2466 2806 3151 4209 4932 5612 6302 8357 8418 9453 12604 12627 16714 16836 18906 25071 25254 28359 32099 33428 37812 50142 50508 56718 64198 75213 96297 100284 113436 128396 150426 192211 192594 288891 300852 384422 385188 576633 577782 738277 768844 1153266 1155564 1476554 1729899 1958039 2214831 2306532 2953108 3459798 3916078 4397563 4429662 5874117 6644493 6919596 7832156 8795126 8859324 11748234 13192689 13288986 17590252 17622351 23496468 26385378 26577972 35244702 39578067 45034897 52770756 70489404 79156134 90069794 101143949 135104691 158312268 180139588 202287898 268251343 270209382 303431847 404575796 405314073 536502686 540418764 606863694 804754029 810628146 910295541 1073005372 1213727388 1609508058 1621256292 1820591082 2414262087 3219016116 3641182164 4828524174 6169780889 9657048348 12339561778 18509342667 24679123556 37018685334 55528028001 74037370668 111056056002 222112112004