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222143143412344 = 237111129503963389
BaseRepresentation
bin110010100000100110111011…
…001001110000001001111000
31002010112200021121112012000211
4302200212323021300021320
5213104043124203143334
62104243052400440504
764535212115641330
oct6240467311601170
91063480247465024
10222143143412344
1164866418218550
1220ab89b5319134
1396c50159b3a6b
143cbdadd6180c0
151aa36bda95a64
hexca09bb270278

222143143412344 has 128 divisors (see below), whose sum is σ = 519866968320000. Its totient is φ = 86454091975680.

The previous prime is 222143143412233. The next prime is 222143143412371. The reversal of 222143143412344 is 443214341341222.

It is a junction number, because it is equal to n+sod(n) for n = 222143143412297 and 222143143412306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3504411402 + ... + 3504474790.

It is an arithmetic number, because the mean of its divisors is an integer number (4061460690000).

Almost surely, 2222143143412344 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 222143143412344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259933484160000).

222143143412344 is an abundant number, since it is smaller than the sum of its proper divisors (297723824907656).

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

222143143412344 is a wasteful number, since it uses less digits than its factorization.

222143143412344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69581 (or 69577 counting only the distinct ones).

The product of its digits is 442368, while the sum is 40.

Adding to 222143143412344 its reverse (443214341341222), we get a palindrome (665357484753566).

The spelling of 222143143412344 in words is "two hundred twenty-two trillion, one hundred forty-three billion, one hundred forty-three million, four hundred twelve thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 616 1129 2258 4516 5039 7903 9032 10078 12419 15806 20156 24838 31612 35273 40312 49676 55429 63224 63389 70546 86933 99352 110858 126778 141092 173866 221716 253556 282184 347732 388003 443432 443723 507112 695464 697279 776006 887446 1394558 1552012 1774892 2789116 3104024 3549784 4880953 5578232 5689031 9761906 11378062 19523812 22756124 39047624 39823217 45512248 62579341 71566181 79646434 125158682 143132362 159292868 250317364 286264724 318585736 319417171 438055387 500634728 500963267 572529448 638834342 787227991 876110774 1001926534 1277668684 1574455982 1752221548 2003853068 2235920197 2555337368 3148911964 3504443096 3513588881 4007706136 4471840394 5510595937 6297823928 7027177762 8943680788 11021191874 14054355524 17887361576 22042383748 24595122167 28108711048 44084767496 49190244334 98380488668 196760977336 360621986059 721243972118 1442487944236 2524353902413 2884975888472 3966841846649 5048707804826 7933683693298 10097415609652 15867367386596 20194831219304 27767892926543 31734734773192 55535785853086 111071571706172 222143143412344