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222112110010212 = 223237894094580941
BaseRepresentation
bin110010100000001010000001…
…011010101101111101100100
31002010102201011211201000102200
4302200022001122231331210
5213103041100130311322
62104220521131134500
764533033100243302
oct6240120132557544
91063381154630380
10222112110010212
1164854242717174
1220ab29942a4430
1396c210b4b8116
143cbc3d7c49272
151aa29a438d8ac
hexca02816adf64

222112110010212 has 144 divisors (see below), whose sum is σ = 584529115388400. Its totient is φ = 71052798136320.

The previous prime is 222112110010117. The next prime is 222112110010247. The reversal of 222112110010212 is 212010011211222.

222112110010212 is a `hidden beast` number, since 2 + 221 + 121 + 100 + 10 + 212 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2609336238336 + 219502773771876 = 1615344^2 + 14815626^2 .

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, 46195662 + ... + 50776602.

It is an arithmetic number, because the mean of its divisors is an integer number (4059229967975).

Almost surely, 2222112110010212 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 222112110010212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292264557694200).

222112110010212 is an abundant number, since it is smaller than the sum of its proper divisors (362417005378188).

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

222112110010212 is a wasteful number, since it uses less digits than its factorization.

222112110010212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4581486 (or 4581481 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 222112110010212 its reverse (212010011211222), we get a palindrome (434122121221434).

The spelling of 222112110010212 in words is "two hundred twenty-two trillion, one hundred twelve billion, one hundred ten million, ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 89 111 148 178 222 267 333 356 409 444 534 666 801 818 1068 1227 1332 1602 1636 2454 3204 3293 3681 4908 6586 7362 9879 13172 14724 15133 19758 29637 30266 36401 39516 45399 59274 60532 72802 90798 109203 118548 136197 145604 181596 218406 272394 327609 436812 544788 655218 1310436 1346837 2693674 4040511 4580941 5387348 8081022 9161882 12121533 13742823 16162044 18323764 24243066 27485646 41228469 48486132 54971292 82456938 164913876 169494817 338989634 407703749 508484451 677979268 815407498 1016968902 1223111247 1525453353 1630814996 1873604869 2033937804 2446222494 3050906706 3669333741 3747209738 4892444988 5620814607 6101813412 7338667482 7494419476 11241629214 14677334964 15085038713 16862443821 22483258428 30170077426 33724887642 45255116139 60340154852 67449775284 69323380153 90510232278 135765348417 138646760306 166750833341 181020464556 207970140459 271530696834 277293520612 333501666682 415940280918 500252500023 543061393668 623910421377 667003333364 831880561836 1000505000046 1247820842754 1500757500069 2001010000092 2495641685508 3001515000138 6003030000276 6169780833617 12339561667234 18509342500851 24679123334468 37018685001702 55528027502553 74037370003404 111056055005106 222112110010212