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20221120220 = 22571723216061
BaseRepresentation
bin10010110101010001…
…011100111011011100
31221012020121100011112
4102311101130323130
5312403101321340
613142304441152
71314045454160
oct226521347334
957166540145
1020221120220
118637327a04
123b040191b8
131ba34481c2
14d9b804ca0
157d5398065
hex4b545cedc

20221120220 has 144 divisors (see below), whose sum is σ = 53720065728. Its totient is φ = 6241044480.

The previous prime is 20221120219. The next prime is 20221120259. The reversal of 20221120220 is 2202112202.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 20221120195 and 20221120204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1250990 + ... + 1267050.

It is an arithmetic number, because the mean of its divisors is an integer number (373056012).

Almost surely, 220221120220 is an apocalyptic number.

20221120220 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 20221120220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26860032864).

20221120220 is an abundant number, since it is smaller than the sum of its proper divisors (33498945508).

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

20221120220 is a wasteful number, since it uses less digits than its factorization.

20221120220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16140 (or 16115 counting only the distinct ones).

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

Adding to 20221120220 its reverse (2202112202), we get a palindrome (22423232422).

The spelling of 20221120220 in words is "twenty billion, two hundred twenty-one million, one hundred twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 17 20 23 28 34 35 46 68 70 85 92 115 119 140 161 170 230 238 322 340 391 460 476 529 595 644 782 805 1058 1190 1564 1610 1955 2116 2380 2645 2737 3220 3703 3910 5290 5474 7406 7820 8993 10580 10948 13685 14812 16061 17986 18515 27370 32122 35972 37030 44965 54740 62951 64244 74060 80305 89930 112427 125902 160610 179860 224854 251804 273037 314755 321220 369403 449708 546074 562135 629510 738806 1092148 1124270 1259020 1365185 1477612 1847015 1911259 2248540 2585821 2730370 3694030 3822518 5171642 5460740 6279851 7388060 7645036 8496269 9556295 10343284 12559702 12929105 16992538 19112590 25119404 25858210 31399255 33985076 38225180 42481345 43958957 51716420 59473883 62798510 84962690 87917914 118947766 125597020 144436573 169925380 175835828 219794785 237895532 288873146 297369415 439589570 577746292 594738830 722182865 879179140 1011056011 1189477660 1444365730 2022112022 2888731460 4044224044 5055280055 10110560110 20221120220