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22200112031220 = 223251091577207033
BaseRepresentation
bin1010000110000110111011…
…10010101010010111110100
32220121022100222101211001200
411003003131302222113310
510402211312134444340
6115114331330252500
74450622320515414
oct503033562522764
986538328354050
1022200112031220
11708a018538802
1225a6644727130
13c50600131026
1456a6c3a32644
15287721067330
hex1430ddcaa5f4

22200112031220 has 144 divisors (see below), whose sum is σ = 68391005002320. Its totient is φ = 5828355606528.

The previous prime is 22200112031219. The next prime is 22200112031249. The reversal of 22200112031220 is 2213021100222.

22200112031220 is a `hidden beast` number, since 2 + 220 + 0 + 112 + 0 + 312 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2944532449296 + 19255579581924 = 1715964^2 + 4388118^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 22200112031193 and 22200112031202.

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, 523177 + ... + 6683856.

Almost surely, 222200112031220 is an apocalyptic number.

22200112031220 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 22200112031220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34195502501160).

22200112031220 is an abundant number, since it is smaller than the sum of its proper divisors (46190892971100).

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

22200112031220 is a wasteful number, since it uses less digits than its factorization.

22200112031220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7207314 (or 7207309 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 22200112031220 its reverse (2213021100222), we get a palindrome (24413133131442).

The spelling of 22200112031220 in words is "twenty-two trillion, two hundred billion, one hundred twelve million, thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 109 157 180 218 314 327 436 471 545 628 654 785 942 981 1090 1308 1413 1570 1635 1884 1962 2180 2355 2826 3140 3270 3924 4710 4905 5652 6540 7065 9420 9810 14130 17113 19620 28260 34226 51339 68452 85565 102678 154017 171130 205356 256695 308034 342260 513390 616068 770085 1026780 1540170 3080340 7207033 14414066 21621099 28828132 36035165 43242198 64863297 72070330 86484396 108105495 129726594 144140660 216210990 259453188 324316485 432421980 648632970 785566597 1131504181 1297265940 1571133194 2263008362 2356699791 3142266388 3394512543 3927832985 4526016724 4713399582 5657520905 6789025086 7070099373 7855665970 9426799164 10183537629 11315041810 11783498955 13578050172 14140198746 15711331940 16972562715 20367075258 22630083620 23566997910 28280397492 33945125430 35350496865 40734150516 47133995820 50917688145 67890250860 70700993730 101835376290 123333955729 141401987460 203670752580 246667911458 370001867187 493335822916 616669778645 740003734374 1110005601561 1233339557290 1480007468748 1850009335935 2220011203122 2466679114580 3700018671870 4440022406244 5550028007805 7400037343740 11100056015610 22200112031220