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220022010112212 = 2232711149532704829
BaseRepresentation
bin110010000001101111011101…
…110000010110100011010100
31001212000220021012000010001100
4302001233131300112203110
5212314320034042042322
62055540414400430100
764226031343242660
oct6201573560264324
91055026235003040
10220022010112212
11641188a0823470
12208158a6018330
13959cca9525549
143c4919d0d58a0
151a6842639edac
hexc81bddc168d4

220022010112212 has 144 divisors (see below), whose sum is σ = 698056409232000. Its totient is φ = 56765026471680.

The previous prime is 220022010112193. The next prime is 220022010112313. The reversal of 220022010112212 is 212211010220022.

It is a happy number.

220022010112212 is a `hidden beast` number, since 2 + 200 + 220 + 10 + 11 + 221 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 265939387 + ... + 266765442.

It is an arithmetic number, because the mean of its divisors is an integer number (4847613953000).

Almost surely, 2220022010112212 is an apocalyptic number.

220022010112212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

220022010112212 is an abundant number, since it is smaller than the sum of its proper divisors (478034399119788).

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

220022010112212 is a wasteful number, since it uses less digits than its factorization.

220022010112212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532705006 (or 532705001 counting only the distinct ones).

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

Adding to 220022010112212 its reverse (212211010220022), we get a palindrome (432233020332234).

The spelling of 220022010112212 in words is "two hundred twenty trillion, twenty-two billion, ten million, one hundred twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 149 154 198 231 252 298 308 396 447 462 596 693 894 924 1043 1341 1386 1639 1788 2086 2682 2772 3129 3278 4172 4917 5364 6258 6556 9387 9834 11473 12516 14751 18774 19668 22946 29502 34419 37548 45892 59004 68838 103257 137676 206514 413028 532704829 1065409658 1598114487 2130819316 3196228974 3728933803 4794343461 5859753119 6392457948 7457867606 9588686922 11186801409 11719506238 14915735212 17579259357 19177373844 22373602818 23439012476 33560404227 35158518714 41018271833 44747205636 52737778071 67120808454 70317037428 79373019521 82036543666 105475556142 123054815499 134241616908 158746039042 164073087332 210951112284 238119058563 246109630998 317492078084 369164446497 476238117126 492219261996 555611136647 714357175689 738328892994 873103214731 952476234252 1111222273294 1428714351378 1476657785988 1666833409941 1746206429462 2222444546588 2619309644193 2857428702756 3333666819882 3492412858924 5000500229823 5238619288386 6111722503117 6667333639764 7857928932579 10001000459646 10477238576772 12223445006234 15715857865158 18335167509351 20002000919292 24446890012468 31431715730316 36670335018702 55005502528053 73340670037404 110011005056106 220022010112212