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320222112 = 25371134217
BaseRepresentation
bin10011000101100…
…011001110100000
3211022112222011020
4103011203032200
51123434101422
651435245440
710635562110
oct2305431640
9738488136
10320222112
11154836681
128b2a9880
135145b352
1430759040
151d1a595c
hex131633a0

320222112 has 96 divisors (see below), whose sum is σ = 969397632. Its totient is φ = 90660864.

The previous prime is 320222099. The next prime is 320222113. The reversal of 320222112 is 211222023.

It is a happy number.

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 = 320222091 and 320222100.

It is not an unprimeable number, because it can be changed into a prime (320222113) 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, 73828 + ... + 78044.

It is an arithmetic number, because the mean of its divisors is an integer number (10097892).

Almost surely, 2320222112 is an apocalyptic number.

320222112 is a gapful number since it is divisible by the number (32) 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 320222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484698816).

320222112 is an abundant number, since it is smaller than the sum of its proper divisors (649175520).

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

320222112 is a wasteful number, since it uses less digits than its factorization.

320222112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4350 (or 4342 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 320222112 is about 17894.7509622235. The cubic root of 320222112 is about 684.1485946444.

Adding to 320222112 its reverse (211222023), we get a palindrome (531444135).

The spelling of 320222112 in words is "three hundred twenty 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 56 84 96 112 113 168 224 226 336 339 452 672 678 791 904 1356 1582 1808 2373 2712 3164 3616 4217 4746 5424 6328 8434 9492 10848 12651 12656 16868 18984 25302 25312 29519 33736 37968 50604 59038 67472 75936 88557 101208 118076 134944 177114 202416 236152 354228 404832 472304 476521 708456 944608 953042 1416912 1429563 1906084 2833824 2859126 3335647 3812168 5718252 6671294 7624336 10006941 11436504 13342588 15248672 20013882 22873008 26685176 40027764 45746016 53370352 80055528 106740704 160111056 320222112