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22322142412220 = 2257247677233311
BaseRepresentation
bin1010001001101010001110…
…10111100111110110111100
32221000222100111002110200102
411010311013113213312330
510411211221424142340
6115250352313020232
74462502332606100
oct504650727476674
987028314073612
1022322142412220
117126849500152
1226062203b4678
13c5bc79b6bc71
1457257c8a1900
1528a9b43d2215
hex144d475e7dbc

22322142412220 has 144 divisors (see below), whose sum is σ = 56521215700992. Its totient is φ = 7378670597760.

The previous prime is 22322142412099. The next prime is 22322142412237. The reversal of 22322142412220 is 2221424122322.

It is a super-3 number, since 3×223221424122203 (a number of 41 digits) contains 333 as substring.

It is a congruent number.

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, 530636 + ... + 6702675.

It is an arithmetic number, because the mean of its divisors is an integer number (392508442368).

Almost surely, 222322142412220 is an apocalyptic number.

22322142412220 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 22322142412220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28260607850496).

22322142412220 is an abundant number, since it is smaller than the sum of its proper divisors (34199073288772).

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

22322142412220 is a wasteful number, since it uses less digits than its factorization.

22322142412220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7233448 (or 7233439 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 22322142412220 its reverse (2221424122322), we get a palindrome (24543566534542).

The spelling of 22322142412220 in words is "twenty-two trillion, three hundred twenty-two billion, one hundred forty-two million, four hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 47 49 67 70 94 98 134 140 188 196 235 245 268 329 335 469 470 490 658 670 938 940 980 1316 1340 1645 1876 2303 2345 3149 3283 3290 4606 4690 6298 6566 6580 9212 9380 11515 12596 13132 15745 16415 22043 23030 31490 32830 44086 46060 62980 65660 88172 110215 154301 220430 308602 440860 617204 771505 1543010 3086020 7233311 14466622 28933244 36166555 50633177 72333110 101266354 144666220 202532708 253165885 339965617 354432239 484631837 506331770 679931234 708864478 969263674 1012663540 1359862468 1417728956 1699828085 1772161195 1938527348 2379759319 2423159185 3392422859 3399656170 3544322390 4759518638 4846318370 6784845718 6799312340 7088644780 9519037276 9692636740 11898796595 13569691436 16658315233 16962114295 22777696339 23746960013 23797593190 33316630466 33924228590 45555392678 47493920026 47595186380 66633260932 67848457180 83291576165 91110785356 94987840052 113888481695 118734800065 159443874373 166583152330 227776963390 237469600130 318887748746 333166304660 455553926780 474939200260 637775497492 797219371865 1116107120611 1594438743730 2232214241222 3188877487460 4464428482444 5580535603055 11161071206110 22322142412220