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22201022001000 = 2335342971722211
BaseRepresentation
bin1010000110001000101000…
…00001111010111101101000
32220121101201101200001221010
411003010110001322331220
510402220143113013000
6115115001514143520
74450654010236503
oct503042401727550
986541641601833
1022201022001000
11708a44515a547
1225a6859421ba0
13c5071680859b
1456a76c82613a
15287775db2d50
hex14311407af68

22201022001000 has 128 divisors (see below), whose sum is σ = 69283348767360. Its totient is φ = 5918891328000.

The previous prime is 22201022000981. The next prime is 22201022001017. The reversal of 22201022001000 is 10022010222.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 12029895 + ... + 13752105.

It is an arithmetic number, because the mean of its divisors is an integer number (541276162245).

Almost surely, 222201022001000 is an apocalyptic number.

22201022001000 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 22201022001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34641674383680).

22201022001000 is an abundant number, since it is smaller than the sum of its proper divisors (47082326766360).

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

22201022001000 is a wasteful number, since it uses less digits than its factorization.

22201022001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1726532 (or 1726518 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 22201022001000 its reverse (10022010222), we get a palindrome (22211044011222).

The spelling of 22201022001000 in words is "twenty-two trillion, two hundred one billion, twenty-two million, one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 4297 8594 12891 17188 21485 25782 34376 42970 51564 64455 85940 103128 107425 128910 171880 214850 257820 322275 429700 515640 537125 644550 859400 1074250 1289100 1611375 1722211 2148500 2578200 3222750 3444422 4297000 5166633 6445500 6888844 8611055 10333266 12891000 13777688 17222110 20666532 25833165 34444220 41333064 43055275 51666330 68888440 86110550 103332660 129165825 172221100 206665320 215276375 258331650 344442200 430552750 516663300 645829125 861105500 1033326600 1291658250 1722211000 2583316500 5166633000 7400340667 14800681334 22201022001 29601362668 37001703335 44402044002 59202725336 74003406670 88804088004 111005110005 148006813340 177608176008 185008516675 222010220010 296013626680 370017033350 444020440020 555025550025 740034066700 888040880040 925042583375 1110051100050 1480068133400 1850085166750 2220102200100 2775127750125 3700170333500 4440204400200 5550255500250 7400340667000 11100511000500 22201022001000