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222011031330220 = 225112377613258163
BaseRepresentation
bin110010011110101011111000…
…101010001001110110101100
31002010002001021111100001102011
4302132223320222021312230
5213044412043010031340
62104102243152211004
764522524214526206
oct6236537052116654
91063061244301364
10222011031330220
1164815393408900
1220a97285239a64
1396b5720380bc2
143cb7569839776
151aa003a5d00ea
hexc9eaf8a89dac

222011031330220 has 144 divisors (see below), whose sum is σ = 527002214435424. Its totient is φ = 78446114841600.

The previous prime is 222011031330203. The next prime is 222011031330223. The reversal of 222011031330220 is 22033130110222.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 222011031330191 and 222011031330200.

It is not an unprimeable number, because it can be changed into a prime (222011031330223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66510859 + ... + 69769021.

It is an arithmetic number, because the mean of its divisors is an integer number (3659737600246).

Almost surely, 2222011031330220 is an apocalyptic number.

222011031330220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222011031330220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263501107217712).

222011031330220 is an abundant number, since it is smaller than the sum of its proper divisors (304991183105204).

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

222011031330220 is a wasteful number, since it uses less digits than its factorization.

222011031330220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3258992 (or 3258979 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 222011031330220 its reverse (22033130110222), we get a palindrome (244044161440442).

The spelling of 222011031330220 in words is "two hundred twenty-two trillion, eleven billion, thirty-one million, three hundred thirty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 37 44 55 74 110 121 148 185 220 242 370 407 484 605 740 761 814 1210 1522 1628 2035 2420 3044 3805 4070 4477 7610 8140 8371 8954 15220 16742 17908 22385 28157 33484 41855 44770 56314 83710 89540 92081 112628 140785 167420 184162 281570 309727 368324 460405 563140 619454 920810 1238908 1548635 1841620 3097270 3258163 3406997 6194540 6516326 6813994 13032652 13627988 16290815 17034985 32581630 34069970 35839793 65163260 68139940 71679586 120552031 143359172 179198965 241104062 358397930 394237723 482208124 602760155 716795860 788475446 1205520310 1326072341 1576950892 1971188615 2411040620 2479462043 2652144682 3942377230 4958924086 5304289364 6630361705 7884754460 9917848172 12397310215 13260723410 14586795751 24794620430 26521446820 27274082473 29173591502 49589240860 54548164946 58347183004 72933978755 91740095591 109096329892 136370412365 145867957510 183480191182 272740824730 291735915020 300014907203 366960382364 458700477955 545481649460 600029814406 917400955910 1009141051501 1200059628812 1500074536015 1834801911820 2018282103002 3000149072030 4036564206004 5045705257505 6000298144060 10091410515010 11100551566511 20182821030020 22201103133022 44402206266044 55502757832555 111005515665110 222011031330220