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22131114423040 = 28576397386117
BaseRepresentation
bin1010000100000110011010…
…01101101011001100000000
32220100201021102020011021001
411002003031031223030000
510400044010243014130
6115022521004141344
74442630434521040
oct502031515531400
986321242204231
1022131114423040
117062831153527
1225951a9537854
13c46c5558043c
1456721a1cb720
15285a3395b6ca
hex1420cd36b300

22131114423040 has 144 divisors (see below), whose sum is σ = 60593553340992. Its totient is φ = 7586604859392.

The previous prime is 22131114423029. The next prime is 22131114423049. The reversal of 22131114423040 is 4032441113122.

It is a happy number.

It is a super-2 number, since 2×221311144230402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (22131114423049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57124062 + ... + 57510178.

It is an arithmetic number, because the mean of its divisors is an integer number (420788564868).

Almost surely, 222131114423040 is an apocalyptic number.

22131114423040 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 22131114423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30296776670496).

22131114423040 is an abundant number, since it is smaller than the sum of its proper divisors (38462438917952).

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

22131114423040 is an equidigital number, since it uses as much as digits as its factorization.

22131114423040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392542 (or 392528 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 22131114423040 its reverse (4032441113122), we get a palindrome (26163555536162).

The spelling of 22131114423040 in words is "twenty-two trillion, one hundred thirty-one billion, one hundred fourteen million, four hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 560 640 896 1120 1280 1792 2240 4480 6397 8960 12794 25588 31985 44779 51176 63970 89558 102352 127940 179116 204704 223895 255880 358232 386117 409408 447790 511760 716464 772234 818816 895580 1023520 1432928 1544468 1637632 1791160 1930585 2047040 2702819 2865856 3088936 3582320 3861170 4094080 5405638 5731712 6177872 7164640 7722340 8188160 10811276 11463424 12355744 13514095 14329280 15444680 21622552 24711488 27028190 28658560 30889360 43245104 49422976 54056380 57317120 61778720 86490208 98845952 108112760 123557440 172980416 216225520 247114880 345960832 432451040 494229760 691921664 864902080 1729804160 2469990449 3459608320 4939980898 9879961796 12349952245 17289933143 19759923592 24699904490 34579866286 39519847184 49399808980 69159732572 79039694368 86449665715 98799617960 138319465144 158079388736 172899331430 197599235920 276638930288 316158777472 345798662860 395198471840 553277860576 632317554944 691597325720 790396943680 1106555721152 1383194651440 1580793887360 2213111442304 2766389302880 3161587774720 4426222884608 5532778605760 11065557211520 22131114423040