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220222201111120 = 24513232019126853
BaseRepresentation
bin110010000100101001111010…
…000100011010001001010000
31001212202000222211200112210101
4302010221322010122021100
5212331110031441023440
62100212403232342144
764246346303535055
oct6204517204321120
91055660884615711
10220222201111120
11641957903899aa
12208486556a4954
1395b5b31299a10
143c54b506d502c
151a6d7414a169a
hexc84a7a11a250

220222201111120 has 80 divisors (see below), whose sum is σ = 551426337986832. Its totient is φ = 81309299097600.

The previous prime is 220222201111103. The next prime is 220222201111169. The reversal of 220222201111120 is 21111102222022.

It can be written as a sum of positive squares in 8 ways, for example, as 238960634896 + 219983240476224 = 488836^2 + 14831832^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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, 19565614 + ... + 28692466.

Almost surely, 2220222201111120 is an apocalyptic number.

220222201111120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220222201111120 is an abundant number, since it is smaller than the sum of its proper divisors (331204136875712).

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

220222201111120 is a wasteful number, since it uses less digits than its factorization.

220222201111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9150080 (or 9150074 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 220222201111120 its reverse (21111102222022), we get a palindrome (241333303333142).

The spelling of 220222201111120 in words is "two hundred twenty trillion, two hundred twenty-two billion, two hundred one million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 23201 46402 92804 116005 185608 232010 301613 371216 464020 603226 928040 1206452 1508065 1856080 2412904 3016130 4825808 6032260 9126853 12064520 18253706 24129040 36507412 45634265 73014824 91268530 118649089 146029648 182537060 237298178 365074120 474596356 593245445 730148240 949192712 1186490890 1898385424 2372981780 4745963560 9491927120 211752116453 423504232906 847008465812 1058760582265 1694016931624 2117521164530 2752777513889 3388033863248 4235042329060 5505555027778 8470084658120 11011110055556 13763887569445 16940169316240 22022220111112 27527775138890 44044440222224 55055550277780 110111100555560 220222201111120