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2022001000200 = 2332522774055357
BaseRepresentation
bin11101011011001000101…
…001101011111100001000
321011022010201121110110100
4131123020221223330020
5231112024224001300
64144521110445400
7266041032630546
oct35331051537410
97138121543410
102022001000200
1170a58693a985
12287a64063860
1311889b67669c
146dc18810d96
15378e4757700
hex1d6c8a6bf08

2022001000200 has 144 divisors (see below), whose sum is σ = 6815069672580. Its totient is φ = 537253562880.

The previous prime is 2022001000199. The next prime is 2022001000223. The reversal of 2022001000200 is 20001002202.

It can be written as a sum of positive squares in 6 ways, for example, as 1050424109604 + 971576890596 = 1024902^2 + 985686^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1529079 + ... + 2526278.

Almost surely, 22022001000200 is an apocalyptic number.

2022001000200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2022001000200 is an abundant number, since it is smaller than the sum of its proper divisors (4793068672380).

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

2022001000200 is a wasteful number, since it uses less digits than its factorization.

2022001000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4055656 (or 4055644 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 2022001000200 its reverse (20001002202), we get a palindrome (2042002002402).

The spelling of 2022001000200 in words is "two trillion, twenty-two billion, one million, two hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 277 300 360 450 554 600 831 900 1108 1385 1662 1800 2216 2493 2770 3324 4155 4986 5540 6648 6925 8310 9972 11080 12465 13850 16620 19944 20775 24930 27700 33240 41550 49860 55400 62325 83100 99720 124650 166200 249300 498600 4055357 8110714 12166071 16221428 20276785 24332142 32442856 36498213 40553570 48664284 60830355 72996426 81107140 97328568 101383925 121660710 145992852 162214280 182491065 202767850 243321420 291985704 304151775 364982130 405535700 486642840 608303550 729964260 811071400 912455325 1123333889 1216607100 1459928520 1824910650 2246667778 2433214200 3370001667 3649821300 4493335556 5616669445 6740003334 7299642600 8986671112 10110005001 11233338890 13480006668 16850008335 20220010002 22466677780 26960013336 28083347225 33700016670 40440020004 44933355560 50550025005 56166694450 67400033340 80880040008 84250041675 101100050010 112333388900 134800066680 168500083350 202200100020 224666777800 252750125025 337000166700 404400200040 505500250050 674000333400 1011000500100 2022001000200