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2210222112 = 25375362057
BaseRepresentation
bin1000001110111101…
…0101000000100000
312201000220220202020
42003233111000200
514011304101422
61003152421440
7105525402150
oct20357250040
95630826666
102210222112
11a3468164a
12518247880
13292ba0347
1416d77c760
15ce08a95c
hex83bd5020

2210222112 has 96 divisors (see below), whose sum is σ = 6755882112. Its totient is φ = 619567104.

The previous prime is 2210222111. The next prime is 2210222117. The reversal of 2210222112 is 2112220122.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 2210222091 and 2210222100.

It is not an unprimeable number, because it can be changed into a prime (2210222111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4588 + ... + 66644.

It is an arithmetic number, because the mean of its divisors is an integer number (70373772).

Almost surely, 22210222112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2210222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3377941056).

2210222112 is an abundant number, since it is smaller than the sum of its proper divisors (4545660000).

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

2210222112 is a wasteful number, since it uses less digits than its factorization.

2210222112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62130 (or 62122 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 2210222112 is about 47012.9993937847. Note that the first 3 decimals coincide. The cubic root of 2210222112 is about 1302.6026973646.

Adding to 2210222112 its reverse (2112220122), we get a palindrome (4322442234).

The spelling of 2210222112 in words is "two billion, two hundred ten million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 53 56 84 96 106 112 159 168 212 224 318 336 371 424 636 672 742 848 1113 1272 1484 1696 2226 2544 2968 4452 5088 5936 8904 11872 17808 35616 62057 124114 186171 248228 372342 434399 496456 744684 868798 992912 1303197 1489368 1737596 1985824 2606394 2978736 3289021 3475192 5212788 5957472 6578042 6950384 9867063 10425576 13156084 13900768 19734126 20851152 23023147 26312168 39468252 41702304 46046294 52624336 69069441 78936504 92092588 105248672 138138882 157873008 184185176 276277764 315746016 368370352 552555528 736740704 1105111056 2210222112