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22010122022220 = 223251011648173459
BaseRepresentation
bin1010000000100101000011…
…00000010010110101001100
32212221010222020200100202200
411000102201200102311030
510341103212214202340
6114451151021121500
74431115225214553
oct500224140226514
985833866610680
1022010122022220
117016493095a42
1225758613b9290
13c387128b9a67
1456141d154d9a
152828017c6330
hex1404a1812d4c

22010122022220 has 144 divisors (see below), whose sum is σ = 67430075862240. Its totient is φ = 5810821632000.

The previous prime is 22010122022209. The next prime is 22010122022263. The reversal of 22010122022220 is 2222022101022.

22010122022220 is a `hidden beast` number, since 2 + 201 + 0 + 1 + 220 + 22 + 220 = 666.

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 = 22010122022193 and 22010122022202.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 299587851 + ... + 299661309.

It is an arithmetic number, because the mean of its divisors is an integer number (468264415710).

Almost surely, 222010122022220 is an apocalyptic number.

22010122022220 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 22010122022220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33715037931120).

22010122022220 is an abundant number, since it is smaller than the sum of its proper divisors (45419953840020).

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

22010122022220 is a wasteful number, since it uses less digits than its factorization.

22010122022220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90056 (or 90051 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 22010122022220 its reverse (2222022101022), we get a palindrome (24232144123242).

The spelling of 22010122022220 in words is "twenty-two trillion, ten billion, one hundred twenty-two million, twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 101 180 202 303 404 505 606 909 1010 1212 1515 1818 2020 3030 3636 4545 6060 9090 16481 18180 32962 49443 65924 73459 82405 98886 146918 148329 164810 197772 220377 247215 293836 296658 329620 367295 440754 494430 593316 661131 734590 741645 881508 988860 1101885 1322262 1469180 1483290 1664581 2203770 2644524 2966580 3305655 3329162 4407540 4993743 6611310 6658324 7419359 8322905 9987486 13222620 14838718 14981229 16645810 19974972 22258077 24968715 29677436 29962458 33291620 37096795 44516154 49937430 59924916 66774231 74193590 74906145 89032308 99874860 111290385 133548462 148387180 149812290 222580770 267096924 299624580 333871155 445161540 667742310 1210677779 1335484620 2421355558 3632033337 4842711116 6053388895 7264066674 10896100011 12106777790 14528133348 18160166685 21792200022 24213555580 36320333370 43584400044 54480500055 72640666740 108961000110 122278455679 217922000220 244556911358 366835367037 489113822716 611392278395 733670734074 1100506101111 1222784556790 1467341468148 1834176835185 2201012202222 2445569113580 3668353670370 4402024404444 5502530505555 7336707340740 11005061011110 22010122022220