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222112201102000 = 24531159171118799
BaseRepresentation
bin110010100000001010000110…
…110110001101001010110000
31002010102201102012002221212121
4302200022012312031022300
5213103041241440231000
62104220534143404024
764533035254434106
oct6240120666151260
91063381365087777
10222112201102000
116485428a083840
1220ab29ba8b3614
1396c212432cca1
143cbc405d9bc76
151aa29ac383b1a
hexca0286d8d2b0

222112201102000 has 160 divisors (see below), whose sum is σ = 595821972096000. Its totient is φ = 79399122272000.

The previous prime is 222112201101991. The next prime is 222112201102073. The reversal of 222112201102000 is 201102211222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

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 31 ways as a sum of consecutive naturals, for example, 84261400 + ... + 86857399.

It is an arithmetic number, because the mean of its divisors is an integer number (3723887325600).

Almost surely, 2222112201102000 is an apocalyptic number.

222112201102000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222112201102000 is an abundant number, since it is smaller than the sum of its proper divisors (373709770994000).

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

222112201102000 is a wasteful number, since it uses less digits than its factorization.

222112201102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171118892 (or 171118876 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 222112201102000 its reverse (201102211222), we get a palindrome (222313303313222).

The spelling of 222112201102000 in words is "two hundred twenty-two trillion, one hundred twelve billion, two hundred one million, one hundred two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 59 80 88 100 110 118 125 176 200 220 236 250 275 295 400 440 472 500 550 590 649 880 944 1000 1100 1180 1298 1375 1475 2000 2200 2360 2596 2750 2950 3245 4400 4720 5192 5500 5900 6490 7375 10384 11000 11800 12980 14750 16225 22000 23600 25960 29500 32450 51920 59000 64900 81125 118000 129800 162250 259600 324500 649000 1298000 171118799 342237598 684475196 855593995 1368950392 1711187990 1882306789 2737900784 3422375980 3764613578 4277969975 6844751960 7529227156 8555939950 9411533945 10096009141 13689503920 15058454312 17111879900 18823067890 20192018282 21389849875 30116908624 34223759800 37646135780 40384036564 42779699750 47057669725 50480045705 68447519600 75292271560 80768073128 85559399500 94115339450 100960091410 111056100551 150584543120 161536146256 171118799000 188230678900 201920182820 222112201102 235288348625 252400228525 342237598000 376461357800 403840365640 444224402204 470576697250 504800457050 555280502755 752922715600 807680731280 888448804408 941153394500 1009600914100 1110561005510 1262001142625 1776897608816 1882306789000 2019201828200 2221122011020 2524002285250 2776402513775 3764613578000 4038403656400 4442244022040 5048004570500 5552805027550 8884488044080 10096009141000 11105610055100 13882012568875 20192018282000 22211220110200 27764025137750 44422440220400 55528050275500 111056100551000 222112201102000