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2112222320 = 245134674349
BaseRepresentation
bin111110111100101…
…1111010001110000
312110012112000022022
41331321133101300
513311212103240
6545332131012
7103225410365
oct17571372160
95405460268
102112222320
1199432698a
124ab466a68
132787aa0c0
1416074c46c
15c567d9b5
hex7de5f470

2112222320 has 80 divisors (see below), whose sum is σ = 5301223200. Its totient is φ = 778048512.

The previous prime is 2112222317. The next prime is 2112222323. The reversal of 2112222320 is 232222112.

It is an interprime number because it is at equal distance from previous prime (2112222317) and next prime (2112222323).

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

It is a super-2 number, since 2×21122223202 = 8922966258212364800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112222323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 483506 + ... + 487854.

It is an arithmetic number, because the mean of its divisors is an integer number (66265290).

Almost surely, 22112222320 is an apocalyptic number.

2112222320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2112222320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2650611600).

2112222320 is an abundant number, since it is smaller than the sum of its proper divisors (3189000880).

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

2112222320 is a wasteful number, since it uses less digits than its factorization.

2112222320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4842 (or 4836 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 2112222320 is about 45958.9199176830. The cubic root of 2112222320 is about 1283.0587492971.

Adding to 2112222320 its reverse (232222112), we get a palindrome (2344444432).

The spelling of 2112222320 in words is "two billion, one hundred twelve million, two hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 467 520 934 1040 1868 2335 3736 4349 4670 6071 7472 8698 9340 12142 17396 18680 21745 24284 30355 34792 37360 43490 48568 56537 60710 69584 86980 97136 113074 121420 173960 226148 242840 282685 347920 452296 485680 565370 904592 1130740 2030983 2261480 4061966 4522960 8123932 10154915 16247864 20309830 26402779 32495728 40619660 52805558 81239320 105611116 132013895 162478640 211222232 264027790 422444464 528055580 1056111160 2112222320