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971222112 = 25327895413
BaseRepresentation
bin111001111000111…
…010110001100000
32111200112012021100
4321320322301200
53442113101422
6240212354400
733032152230
oct7170726140
92450465240
10971222112
11459258603
12231315a00
131262a2553
1492db9cc0
155a3e97ac
hex39e3ac60

971222112 has 144 divisors (see below), whose sum is σ = 3192527520. Its totient is φ = 274323456.

The previous prime is 971222111. The next prime is 971222141. The reversal of 971222112 is 211222179.

971222112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (971222111) 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, 176718 + ... + 182130.

It is an arithmetic number, because the mean of its divisors is an integer number (22170330).

Almost surely, 2971222112 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 971222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1596263760).

971222112 is an abundant number, since it is smaller than the sum of its proper divisors (2221305408).

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

971222112 is a wasteful number, since it uses less digits than its factorization.

971222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5525 (or 5514 counting only the distinct ones).

The product of its digits is 1008, while the sum is 27.

The square root of 971222112 is about 31164.4366546228. The cubic root of 971222112 is about 990.3138521289.

The spelling of 971222112 in words is "nine hundred seventy-one million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 89 96 112 126 144 168 178 224 252 267 288 336 356 504 534 623 672 712 801 1008 1068 1246 1424 1602 1869 2016 2136 2492 2848 3204 3738 4272 4984 5413 5607 6408 7476 8544 9968 10826 11214 12816 14952 16239 19936 21652 22428 25632 29904 32478 37891 43304 44856 48717 59808 64956 75782 86608 89712 97434 113673 129912 151564 173216 179424 194868 227346 259824 303128 341019 389736 454692 481757 519648 606256 682038 779472 909384 963514 1212512 1364076 1445271 1558944 1818768 1927028 2728152 2890542 3372299 3637536 3854056 4335813 5456304 5781084 6744598 7708112 8671626 10116897 10912608 11562168 13489196 15416224 17343252 20233794 23124336 26978392 30350691 34686504 40467588 46248672 53956784 60701382 69373008 80935176 107913568 121402764 138746016 161870352 242805528 323740704 485611056 971222112