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20244220404200 = 23521347231648579
BaseRepresentation
bin1001001101001011110011…
…00100001110000111101000
32122200022212112020110211022
410212211321210032013220
510123140130410413300
6111020022204552012
74156411440142052
oct446457144160750
978608775213738
1020244220404200
1164a558671a431
12232b570552608
13b3b038b56550
144ddb7b2348d2
152518ea5a2285
hex12697990e1e8

20244220404200 has 96 divisors (see below), whose sum is σ = 50699176399200. Its totient is φ = 7473201903360.

The previous prime is 20244220404181. The next prime is 20244220404203. The reversal of 20244220404200 is 240402244202.

It is a super-2 number, since 2×202442204042002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 20244220404200.

It is not an unprimeable number, because it can be changed into a prime (20244220404203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11455511 + ... + 13104089.

It is an arithmetic number, because the mean of its divisors is an integer number (528116420825).

Almost surely, 220244220404200 is an apocalyptic number.

20244220404200 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 20244220404200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25349588199600).

20244220404200 is an abundant number, since it is smaller than the sum of its proper divisors (30454955995000).

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

20244220404200 is a wasteful number, since it uses less digits than its factorization.

20244220404200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1653331 (or 1653322 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

Adding to 20244220404200 its reverse (240402244202), we get a palindrome (20484622648402).

The spelling of 20244220404200 in words is "twenty trillion, two hundred forty-four billion, two hundred twenty million, four hundred four 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 2600 4723 9446 18892 23615 37784 47230 61399 94460 118075 122798 188920 236150 245596 306995 472300 491192 613990 944600 1227980 1534975 1648579 2455960 3069950 3297158 6139900 6594316 8242895 12279800 13188632 16485790 21431527 32971580 41214475 42863054 65943160 82428950 85726108 107157635 164857900 171452216 214315270 329715800 428630540 535788175 857261080 1071576350 2143152700 4286305400 7786238617 15572477234 31144954468 38931193085 62289908936 77862386170 101221102021 155724772340 194655965425 202442204042 311449544680 389311930850 404884408084 506105510105 778623861700 809768816168 1012211020210 1557247723400 2024422040420 2530527550525 4048844080840 5061055101050 10122110202100 20244220404200