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22010220221000 = 23531115823126457
BaseRepresentation
bin1010000000100101001110…
…10110111001001001001000
32212221011020002110101011112
411000102213112321021020
510341103412334033000
6114451204445545452
74431120526665434
oct500224726711110
985834202411145
1022010220221000
117016533567160
12257588a275288
13c3872a04c74b
1456142c1d79c4
1528280a222235
hex1404a75b9248

22010220221000 has 128 divisors (see below), whose sum is σ = 56190084687360. Its totient is φ = 8003147328000.

The previous prime is 22010220220999. The next prime is 22010220221039. The reversal of 22010220221000 is 12202201022.

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, 173989772 + ... + 174116228.

It is an arithmetic number, because the mean of its divisors is an integer number (438985036620).

Almost surely, 222010220221000 is an apocalyptic number.

22010220221000 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 22010220221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28095042343680).

22010220221000 is an abundant number, since it is smaller than the sum of its proper divisors (34179864466360).

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

22010220221000 is a wasteful number, since it uses less digits than its factorization.

22010220221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142312 (or 142298 counting only the distinct ones).

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

Adding to 22010220221000 its reverse (12202201022), we get a palindrome (22022422422022).

The spelling of 22010220221000 in words is "twenty-two trillion, ten billion, two hundred twenty million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2750 5500 11000 15823 31646 63292 79115 126457 126584 158230 174053 252914 316460 348106 395575 505828 632285 632920 696212 791150 870265 1011656 1264570 1391027 1392424 1582300 1740530 1977875 2529140 2782054 3161425 3164600 3481060 3955750 4351325 5058280 5564108 6322850 6955135 6962120 7911500 8702650 11128216 12645700 13910270 15807125 15823000 17405300 21756625 25291400 27820540 31614250 34775675 34810600 43513250 55641080 63228500 69551350 87026500 126457000 139102700 173878375 174053000 278205400 347756750 695513500 1391027000 2000929111 4001858222 8003716444 10004645555 16007432888 20009291110 22010220221 40018582220 44020440442 50023227775 80037164440 88040880884 100046455550 110051101105 176081761768 200092911100 220102202210 250116138875 400185822200 440204404420 500232277750 550255505525 880408808840 1000464555500 1100511011050 2000929111000 2201022022100 2751277527625 4402044044200 5502555055250 11005110110500 22010220221000