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220323142243000 = 23531498663170689
BaseRepresentation
bin110010000110000111111010…
…101000010001001010111000
31001220002200112121020100021101
4302012013322220101022320
5212334233243403234000
62100331015415221144
764256551566153226
oct6206077250211270
91056080477210241
10220323142243000
1164224579a90345
12208641266777b4
1395c24c9a74914
143c599a873bb16
151a7119d13ee6a
hexc861faa112b8

220323142243000 has 128 divisors (see below), whose sum is σ = 519079214160000. Its totient is φ = 87527167795200.

The previous prime is 220323142242883. The next prime is 220323142243013. The reversal of 220323142243000 is 342241323022.

It is a super-2 number, since 2×2203231422430002 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 220323142243000.

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, 1290701656 + ... + 1290872344.

It is an arithmetic number, because the mean of its divisors is an integer number (4055306360625).

Almost surely, 2220323142243000 is an apocalyptic number.

220323142243000 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 220323142243000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259539607080000).

220323142243000 is an abundant number, since it is smaller than the sum of its proper divisors (298756071917000).

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

220323142243000 is a wasteful number, since it uses less digits than its factorization.

220323142243000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179522 (or 179508 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 220323142243000 its reverse (342241323022), we get a palindrome (220665383566022).

The spelling of 220323142243000 in words is "two hundred twenty trillion, three hundred twenty-three billion, one hundred forty-two million, two hundred forty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 149 200 250 298 500 596 745 1000 1192 1490 2980 3725 5960 7450 8663 14900 17326 18625 29800 34652 37250 43315 69304 74500 86630 149000 170689 173260 216575 341378 346520 433150 682756 853445 866300 1082875 1290787 1365512 1706890 1732600 2165750 2581574 3413780 4267225 4331500 5163148 6453935 6827560 8534450 8663000 10326296 12907870 17068900 21336125 25432661 25815740 32269675 34137800 42672250 50865322 51631480 64539350 85344500 101730644 127163305 129078700 161348375 170689000 203461288 254326610 258157400 322696750 508653220 635816525 645393500 1017306440 1271633050 1290787000 1478678807 2543266100 2957357614 3179082625 5086532200 5914715228 6358165250 7393394035 11829430456 12716330500 14786788070 25432661000 29573576140 36966970175 59147152280 73933940350 147867880700 184834850875 220323142243 295735761400 369669701750 440646284486 739339403500 881292568972 1101615711215 1478678807000 1762585137944 2203231422430 4406462844860 5508078556075 8812925689720 11016157112150 22032314224300 27540392780375 44064628448600 55080785560750 110161571121500 220323142243000