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22464022020 = 223511172117773
BaseRepresentation
bin10100111010111101…
…011100011000000100
32010222120000120000120
4110322331130120010
5332001242201040
614153025541540
71423452015366
oct247275343004
963876016016
1022464022020
11958839a260
12442b1a48b0
13217001b12b
14113164cd36
158b723b7d0
hex53af5c604

22464022020 has 144 divisors (see below), whose sum is σ = 72891741888. Its totient is φ = 5125437440.

The previous prime is 22464022013. The next prime is 22464022033. The reversal of 22464022020 is 2022046422.

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 47 ways as a sum of consecutive naturals, for example, 131854 + ... + 249626.

It is an arithmetic number, because the mean of its divisors is an integer number (506192652).

Almost surely, 222464022020 is an apocalyptic number.

22464022020 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 22464022020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36445870944).

22464022020 is an abundant number, since it is smaller than the sum of its proper divisors (50427719868).

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

22464022020 is a wasteful number, since it uses less digits than its factorization.

22464022020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117830 (or 117811 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 22464022020 its reverse (2022046422), we get a palindrome (24486068442).

It can be divided in two parts, 2246402 and 2020, that added together give a palindrome (2248422).

The spelling of 22464022020 in words is "twenty-two billion, four hundred sixty-four million, twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 17 20 22 30 33 34 44 51 55 60 66 68 85 102 110 132 165 170 187 204 220 255 289 330 340 374 510 561 578 660 748 867 935 1020 1122 1156 1445 1734 1870 2244 2805 2890 3179 3468 3740 4335 5610 5780 6358 8670 9537 11220 12716 15895 17340 19074 31790 38148 47685 63580 95370 117773 190740 235546 353319 471092 588865 706638 1177730 1295503 1413276 1766595 2002141 2355460 2591006 3533190 3886509 4004282 5182012 6006423 6477515 7066380 7773018 8008564 10010705 12012846 12955030 15546036 19432545 20021410 22023551 24025692 25910060 30032115 34036397 38865090 40042820 44047102 60064230 66070653 68072794 77730180 88094204 102109191 110117755 120128460 132141306 136145588 170181985 204218382 220235510 264282612 330353265 340363970 374400367 408436764 440471020 510545955 660706530 680727940 748800734 1021091910 1123201101 1321413060 1497601468 1872001835 2042183820 2246402202 3744003670 4492804404 5616005505 7488007340 11232011010 22464022020