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20221001220 = 22357172832073
BaseRepresentation
bin10010110101010000…
…111111111000000100
31221012020101021221010
4102311100333320010
5312403034014340
613142302122220
71314044450220
oct226520777004
957166337833
1020221001220
118637256562
123b03b80370
131ba3405ca4
14d9b7b3780
157d5372b80
hex4b543fe04

20221001220 has 96 divisors (see below), whose sum is σ = 68513534208. Its totient is φ = 4350062592.

The previous prime is 20221001201. The next prime is 20221001221. The reversal of 20221001220 is 2210012202.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 20221001196 and 20221001205.

It is not an unprimeable number, because it can be changed into a prime (20221001221) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1408897 + ... + 1423176.

It is an arithmetic number, because the mean of its divisors is an integer number (713682648).

Almost surely, 220221001220 is an apocalyptic number.

20221001220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20221001220 is an abundant number, since it is smaller than the sum of its proper divisors (48292532988).

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

20221001220 is a wasteful number, since it uses less digits than its factorization.

20221001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2832109 (or 2832107 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 20221001220 its reverse (2210012202), we get a palindrome (22431013422).

The spelling of 20221001220 in words is "twenty billion, two hundred twenty-one million, one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 17 20 21 28 30 34 35 42 51 60 68 70 84 85 102 105 119 140 170 204 210 238 255 340 357 420 476 510 595 714 1020 1190 1428 1785 2380 3570 7140 2832073 5664146 8496219 11328292 14160365 16992438 19824511 28320730 33984876 39649022 42481095 48145241 56641460 59473533 79298044 84962190 96290482 99122555 118947066 144435723 169924380 192580964 198245110 237894132 240726205 288871446 297367665 337016687 396490220 481452410 577742892 594735330 674033374 722178615 962904820 1011050061 1189470660 1348066748 1444357230 1685083435 2022100122 2888714460 3370166870 4044200244 5055250305 6740333740 10110500610 20221001220