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220221220010200 = 23523437873202873
BaseRepresentation
bin110010000100101000111111…
…100101110011100011011000
31001212201221110110120110100021
4302010220333211303203120
5212331101024310311300
62100212122024120224
764246313061366403
oct6204507745634330
91055657413513307
10220221220010200
11641953275a42a2
1220848421006074
1395b5a05c48b26
143c54a9a2a6d3a
151a6d6d52a4d1a
hexc84a3f9738d8

220221220010200 has 48 divisors (see below), whose sum is σ = 512015985721080. Its totient is φ = 88088204271360.

The previous prime is 220221220010119. The next prime is 220221220010251. The reversal of 220221220010200 is 2010022122022.

220221220010200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67155964 + ... + 70358836.

Almost surely, 2220221220010200 is an apocalyptic number.

220221220010200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220221220010200 is an abundant number, since it is smaller than the sum of its proper divisors (291794765710880).

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

220221220010200 is a wasteful number, since it uses less digits than its factorization.

220221220010200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3546676 (or 3546667 counting only the distinct ones).

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

Adding to 220221220010200 its reverse (2010022122022), we get a palindrome (222231242132222).

The spelling of 220221220010200 in words is "two hundred twenty trillion, two hundred twenty-one billion, two hundred twenty million, ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 343787 687574 1375148 1718935 2750296 3202873 3437870 6405746 6875740 8594675 12811492 13751480 16014365 17189350 25622984 32028730 34378700 64057460 68757400 80071825 128114920 160143650 320287300 640574600 1101106100051 2202212200102 4404424400204 5505530500255 8808848800408 11011061000510 22022122001020 27527652501275 44044244002040 55055305002550 110110610005100 220221220010200