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22020120200 = 23521319974241
BaseRepresentation
bin10100100000100000…
…000101111010001000
32002211121202000012102
4110200200011322020
5330044122321300
614041011332532
71406451635111
oct244040057210
962747660172
1022020120200
11937a869251
1243265b1148
1320cc078030
1410cc6db208
1588d2a50d5
hex520805e88

22020120200 has 96 divisors (see below), whose sum is σ = 55175609160. Its totient is φ = 8124518400.

The previous prime is 22020120163. The next prime is 22020120257. The reversal of 22020120200 is 202102022.

It can be written as a sum of positive squares in 12 ways, for example, as 117896164 + 21902224036 = 10858^2 + 147994^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5190080 + ... + 5194320.

Almost surely, 222020120200 is an apocalyptic number.

22020120200 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 22020120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27587804580).

22020120200 is an abundant number, since it is smaller than the sum of its proper divisors (33155488960).

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

22020120200 is a wasteful number, since it uses less digits than its factorization.

22020120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6267 (or 6258 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 22020120200 its reverse (202102022), we get a palindrome (22222222222).

The spelling of 22020120200 in words is "twenty-two billion, twenty million, one hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 1997 2600 3994 4241 7988 8482 9985 15976 16964 19970 21205 25961 33928 39940 42410 49925 51922 55133 79880 84820 99850 103844 106025 110266 129805 169640 199700 207688 212050 220532 259610 275665 399400 424100 441064 519220 551330 649025 848200 1038440 1102660 1298050 1378325 2205320 2596100 2756650 5192200 5513300 8469277 11026600 16938554 33877108 42346385 67754216 84692770 110100601 169385540 211731925 220201202 338771080 423463850 440402404 550503005 846927700 880804808 1101006010 1693855400 2202012020 2752515025 4404024040 5505030050 11010060100 22020120200