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220222102122020 = 225265712041344173
BaseRepresentation
bin110010000100101001110100…
…001010110010111000100100
31001212202000201221102101021102
4302010221310022302320210
5212331104331120401040
62100212345334535232
764246343662253105
oct6204516412627044
91055660657371242
10220222102122020
116419573a518a29
1220848628507518
1395b5b1691b39b
143c54b414c83ac
151a6d73794b515
hexc84a742b2e24

220222102122020 has 48 divisors (see below), whose sum is σ = 462680236731888. Its totient is φ = 88048118538240.

The previous prime is 220222102121951. The next prime is 220222102122073. The reversal of 220222102122020 is 20221201222022.

It can be written as a sum of positive squares in 8 ways, for example, as 2463914138596 + 217758187983424 = 1569686^2 + 14756632^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 220222102121983 and 220222102122001.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 639686654 + ... + 640030826.

It is an arithmetic number, because the mean of its divisors is an integer number (9639171598581).

Almost surely, 2220222102122020 is an apocalyptic number.

220222102122020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220222102122020 is an abundant number, since it is smaller than the sum of its proper divisors (242458134609868).

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

220222102122020 is a wasteful number, since it uses less digits than its factorization.

220222102122020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358880 (or 358878 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 220222102122020 its reverse (20221201222022), we get a palindrome (240443303344042).

The spelling of 220222102122020 in words is "two hundred twenty trillion, two hundred twenty-two billion, one hundred two million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 2657 5314 10628 12041 13285 24082 26570 48164 53140 60205 120410 240820 344173 688346 1376692 1720865 3441730 6883460 31992937 63985874 127971748 159964685 319929370 639858740 914467661 1828935322 3657870644 4144187093 4572338305 8288374186 9144676610 16576748372 18289353220 20720935465 41441870930 82883741860 11011105106101 22022210212202 44044420424404 55055525530505 110111051061010 220222102122020