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22021022201000 = 2353229647148627
BaseRepresentation
bin1010000000111001010110…
…01101001011010010101000
32212222012002220021211000212
411000130223031023102220
510341243023140413000
6114500152401520252
74431652313211464
oct500345315132250
985865086254025
1022021022201000
117020076a44659
1225779a3943088
13c3975bc340a4
14561b74a7d4a4
15282c3d6e8c35
hex14072b34b4a8

22021022201000 has 128 divisors (see below), whose sum is σ = 51834550060800. Its totient is φ = 8756330515200.

The previous prime is 22021022200999. The next prime is 22021022201027. The reversal of 22021022201000 is 10222012022.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 148088687 + ... + 148237313.

It is an arithmetic number, because the mean of its divisors is an integer number (404957422350).

Almost surely, 222021022201000 is an apocalyptic number.

22021022201000 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 22021022201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25917275030400).

22021022201000 is an abundant number, since it is smaller than the sum of its proper divisors (29813527859800).

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

22021022201000 is a wasteful number, since it uses less digits than its factorization.

22021022201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149524 (or 149510 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 22021022201000 its reverse (10222012022), we get a palindrome (22031244213022).

The spelling of 22021022201000 in words is "twenty-two trillion, twenty-one billion, twenty-two million, two hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 229 250 458 500 647 916 1000 1145 1294 1832 2290 2588 3235 4580 5176 5725 6470 9160 11450 12940 16175 22900 25880 28625 32350 45800 57250 64700 80875 114500 129400 148163 148627 161750 229000 296326 297254 323500 592652 594508 647000 740815 743135 1185304 1189016 1481630 1486270 2963260 2972540 3704075 3715675 5926520 5945080 7408150 7431350 14816300 14862700 18520375 18578375 29632600 29725400 34035583 37040750 37156750 68071166 74081500 74313500 96161669 136142332 148163000 148627000 170177915 192323338 272284664 340355830 384646676 480808345 680711660 769293352 850889575 961616690 1361423320 1701779150 1923233380 2404041725 3403558300 3846466760 4254447875 4808083450 6807116600 8508895750 9616166900 12020208625 17017791500 19232333800 22021022201 24040417250 34035583000 44042044402 48080834500 88084088804 96161669000 110105111005 176168177608 220210222010 440420444020 550525555025 880840888040 1101051110050 2202102220100 2752627775125 4404204440200 5505255550250 11010511100500 22021022201000