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20222311220200 = 2352671861810923
BaseRepresentation
bin1001001100100010111111…
…01011010100001111101000
32122121020022122020121111001
410212101133223110033220
510122310243133021300
6111002000155044344
74155004503145045
oct446213753241750
978536278217431
1020222311220200
1164972635421a1
1223272771406b4
13b38c56a80a4b
144dca9d5741cc
15251066e1216a
hex12645fad43e8

20222311220200 has 96 divisors (see below), whose sum is σ = 47744318230560. Its totient is φ = 7963902777600.

The previous prime is 20222311220173. The next prime is 20222311220231. The reversal of 20222311220200 is 202211322202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24531939 + ... + 25342861.

It is an arithmetic number, because the mean of its divisors is an integer number (497336648235).

Almost surely, 220222311220200 is an apocalyptic number.

20222311220200 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 20222311220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23872159115280).

20222311220200 is an abundant number, since it is smaller than the sum of its proper divisors (27522007010360).

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

20222311220200 is a wasteful number, since it uses less digits than its factorization.

20222311220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812867 (or 812858 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 20222311220200 its reverse (202211322202), we get a palindrome (20424522542402).

The spelling of 20222311220200 in words is "twenty trillion, two hundred twenty-two billion, three hundred eleven million, two hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 67 100 134 200 268 335 536 670 1340 1675 1861 2680 3350 3722 6700 7444 9305 13400 14888 18610 37220 46525 74440 93050 124687 186100 249374 372200 498748 623435 810923 997496 1246870 1621846 2493740 3117175 3243692 4054615 4987480 6234350 6487384 8109230 12468700 16218460 20273075 24937400 32436920 40546150 54331841 81092300 108663682 162184600 217327364 271659205 434654728 543318410 1086636820 1358296025 1509127703 2173273640 2716592050 3018255406 5433184100 6036510812 7545638515 10866368200 12073021624 15091277030 30182554060 37728192575 60365108120 75456385150 101111556101 150912770300 202223112202 301825540600 404446224404 505557780505 808892448808 1011115561010 2022231122020 2527788902525 4044462244040 5055577805050 10111155610100 20222311220200