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2022340323440 = 2454713914392689
BaseRepresentation
bin11101011011011100111…
…000000110100001110000
321011100000101002212102202
4131123130320012201300
5231113223110322230
64145014511402332
7266052323056253
oct35333470064160
97140011085382
102022340323440
1170a740432508
12287b398233a8
13118923a61c78
146dc4b8dd09a
1537914432a45
hex1d6dce06870

2022340323440 has 160 divisors (see below), whose sum is σ = 4841690112000. Its totient is φ = 785190518784.

The previous prime is 2022340323389. The next prime is 2022340323533. The reversal of 2022340323440 is 443230432202.

It is a happy number.

It is a super-2 number, since 2×20223403234402 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 752077616 + ... + 752080304.

It is an arithmetic number, because the mean of its divisors is an integer number (30260563200).

Almost surely, 22022340323440 is an apocalyptic number.

2022340323440 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 2022340323440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2420845056000).

2022340323440 is an abundant number, since it is smaller than the sum of its proper divisors (2819349788560).

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

2022340323440 is a wasteful number, since it uses less digits than its factorization.

2022340323440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4327 (or 4321 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 29.

Adding to 2022340323440 its reverse (443230432202), we get a palindrome (2465570755642).

The spelling of 2022340323440 in words is "two trillion, twenty-two billion, three hundred forty million, three hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 47 80 94 139 188 235 278 376 470 556 695 752 940 1112 1390 1439 1880 2224 2689 2780 2878 3760 5378 5560 5756 6533 7195 10756 11120 11512 13066 13445 14390 21512 23024 26132 26890 28780 32665 43024 52264 53780 57560 65330 67633 104528 107560 115120 126383 130660 135266 200021 215120 252766 261320 270532 338165 373771 400042 505532 522640 541064 631915 676330 747542 800084 1000105 1011064 1082128 1263830 1352660 1495084 1600168 1868855 2000210 2022128 2527660 2705320 2990168 3200336 3737710 3869471 4000420 5055320 5410640 5980336 7475420 7738942 8000840 9400987 10110640 14950840 15477884 16001680 17567237 18801974 19347355 29901680 30955768 35134474 37603948 38694710 47004935 61911536 70268948 75207896 77389420 87836185 94009870 140537896 150415792 154778840 175672370 181865137 188019740 281075792 309557680 351344740 363730274 376039480 537856469 702689480 727460548 752078960 909325685 1075712938 1405378960 1454921096 1818651370 2151425876 2689282345 2909842192 3637302740 4302851752 5378564690 7274605480 8605703504 10757129380 14549210960 21514258760 25279254043 43028517520 50558508086 101117016172 126396270215 202234032344 252792540430 404468064688 505585080860 1011170161720 2022340323440