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2012331222 = 233114397717
BaseRepresentation
bin111011111110001…
…1011110011010110
312012020120000111000
41313330123303112
513110124044342
6531403124130
7100603350606
oct16774336326
95166500430
102012331222
119429aa260
12481b13646
13260ba4045
14151388c06
15bb9eb44c
hex77f1bcd6

2012331222 has 64 divisors (see below), whose sum is σ = 4890124800. Its totient is φ = 608329440.

The previous prime is 2012331221. The next prime is 2012331229. The reversal of 2012331222 is 2221332102.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2012331195 and 2012331204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012331221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 256908 + ... + 264624.

It is an arithmetic number, because the mean of its divisors is an integer number (76408200).

Almost surely, 22012331222 is an apocalyptic number.

2012331222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2012331222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2445062400).

2012331222 is an abundant number, since it is smaller than the sum of its proper divisors (2877793578).

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

2012331222 is a wasteful number, since it uses less digits than its factorization.

2012331222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8178 (or 8172 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2012331222 is about 44859.0149468309. The cubic root of 2012331222 is about 1262.5051406777.

Adding to 2012331222 its reverse (2221332102), we get a palindrome (4233663324).

The spelling of 2012331222 in words is "two billion, twelve million, three hundred thirty-one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 439 594 878 1317 2634 3951 4829 7717 7902 9658 11853 14487 15434 23151 23706 28974 43461 46302 69453 84887 86922 130383 138906 169774 208359 254661 260766 416718 509322 763983 1527966 2291949 3387763 4583898 6775526 10163289 20326578 30489867 37265393 60979734 74530786 91469601 111796179 182939202 223592358 335388537 670777074 1006165611 2012331222