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22000222121000 = 2353172944625197
BaseRepresentation
bin1010000000010010100110…
…11011001010110000101000
32212220012102022021021100112
411000021103123022300220
510340422423330333000
6114442432411553452
74430315004356024
oct500112333126050
985805368237315
1022000222121000
11701227292a6a2
122573959a5b888
13c377c5879046
14560b6040b384
152824225dc235
hex1402536cac28

22000222121000 has 128 divisors (see below), whose sum is σ = 56388400192800. Its totient is φ = 7996835123200.

The previous prime is 22000222120979. The next prime is 22000222121011. The reversal of 22000222121000 is 12122200022.

It can be written as a sum of positive squares in 16 ways, for example, as 24209492836 + 21976012628164 = 155594^2 + 4687858^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21819599 + ... + 22805598.

Almost surely, 222000222121000 is an apocalyptic number.

22000222121000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22000222121000 is an abundant number, since it is smaller than the sum of its proper divisors (34388178071800).

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

22000222121000 is a wasteful number, since it uses less digits than its factorization.

22000222121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44625264 (or 44625250 counting only the distinct ones).

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

Adding to 22000222121000 its reverse (12122200022), we get a palindrome (22012344321022).

The spelling of 22000222121000 in words is "twenty-two trillion, two hundred twenty-two million, one hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 17 20 25 29 34 40 50 58 68 85 100 116 125 136 145 170 200 232 250 290 340 425 493 500 580 680 725 850 986 1000 1160 1450 1700 1972 2125 2465 2900 3400 3625 3944 4250 4930 5800 7250 8500 9860 12325 14500 17000 19720 24650 29000 49300 61625 98600 123250 246500 493000 44625197 89250394 178500788 223125985 357001576 446251970 758628349 892503940 1115629925 1294130713 1517256698 1785007880 2231259850 2588261426 3034513396 3793141745 4462519700 5176522852 5578149625 6069026792 6470653565 7586283490 8925039400 10353045704 11156299250 12941307130 15172566980 18965708725 22000222121 22312598500 25882614260 30345133960 32353267825 37931417450 44000444242 44625197000 51765228520 64706535650 75862834900 88000888484 94828543625 110001110605 129413071300 151725669800 161766339125 176001776968 189657087250 220002221210 258826142600 323532678250 379314174500 440004442420 550005553025 647065356500 758628349000 880008884840 1100011106050 1294130713000 2200022212100 2750027765125 4400044424200 5500055530250 11000111060500 22000222121000