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220221200100220 = 225111051952431451
BaseRepresentation
bin110010000100101000111110…
…011001110110101101111100
31001212201221102002002220222121
4302010220332121312231330
5212331101004211201340
62100212120033252324
764246312430223664
oct6204507631665574
91055657362086877
10220221200100220
1164195317335670
12208484164040a4
1395b5a01a97687
143c54a977a31a4
151a6d6d367094a
hexc84a3e676b7c

220221200100220 has 48 divisors (see below), whose sum is σ = 504986775302016. Its totient is φ = 80004241800000.

The previous prime is 220221200100211. The next prime is 220221200100257. The reversal of 220221200100220 is 22001002122022.

It is a super-2 number, since 2×2202212001002202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 220221200100194 and 220221200100203.

It is a congruent number.

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, 475984506 + ... + 476446945.

It is an arithmetic number, because the mean of its divisors is an integer number (10520557818792).

Almost surely, 2220221200100220 is an apocalyptic number.

220221200100220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220221200100220 is an abundant number, since it is smaller than the sum of its proper divisors (284765575201796).

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

220221200100220 is a wasteful number, since it uses less digits than its factorization.

220221200100220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952432522 (or 952432520 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 220221200100220 its reverse (22001002122022), we get a palindrome (242222202222242).

The spelling of 220221200100220 in words is "two hundred twenty trillion, two hundred twenty-one billion, two hundred million, one hundred thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 1051 2102 4204 5255 10510 11561 21020 23122 46244 57805 115610 231220 952431451 1904862902 3809725804 4762157255 9524314510 10476745961 19048629020 20953491922 41906983844 52383729805 104767459610 209534919220 1001005455001 2002010910002 4004021820004 5005027275005 10010054550010 11011060005011 20020109100020 22022120010022 44044240020044 55055300025055 110110600050110 220221200100220