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2311221220 = 2257211214399
BaseRepresentation
bin1000100111000010…
…0110111111100100
312222001222012110221
42021300212333210
514213133034340
61021201254124
7111163025200
oct21160467744
95861865427
102311221220
11a86695790
12546034344
132aaaa3829
1417cd4db00
15d7d8b44a
hex89c26fe4

2311221220 has 72 divisors (see below), whose sum is σ = 6159283200. Its totient is φ = 720377280.

The previous prime is 2311221167. The next prime is 2311221221. The reversal of 2311221220 is 221221132.

It is a happy number.

2311221220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2311221194 and 2311221203.

It is not an unprimeable number, because it can be changed into a prime (2311221221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96420 + ... + 117979.

It is an arithmetic number, because the mean of its divisors is an integer number (85545600).

Almost surely, 22311221220 is an apocalyptic number.

2311221220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2311221220 is an abundant number, since it is smaller than the sum of its proper divisors (3848061980).

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

2311221220 is a wasteful number, since it uses less digits than its factorization.

2311221220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214433 (or 214424 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2311221220 is about 48075.1621942142. The cubic root of 2311221220 is about 1322.1493182923.

Adding to 2311221220 its reverse (221221132), we get a palindrome (2532442352).

The spelling of 2311221220 in words is "two billion, three hundred eleven million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 49 55 70 77 98 110 140 154 196 220 245 308 385 490 539 770 980 1078 1540 2156 2695 5390 10780 214399 428798 857596 1071995 1500793 2143990 2358389 3001586 4287980 4716778 6003172 7503965 9433556 10505551 11791945 15007930 16508723 21011102 23583890 30015860 33017446 42022204 47167780 52527755 66034892 82543615 105055510 115561061 165087230 210111020 231122122 330174460 462244244 577805305 1155610610 2311221220