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112228956 = 22337295119
BaseRepresentation
bin1101011000001…
…11101001011100
321211011211012000
412230013221130
5212212311311
615045242300
72531634060
oct654075134
9254154160
10112228956
1158394304
1231703390
131a335a88
1410c95aa0
159cbd056
hex6b07a5c

112228956 has 96 divisors (see below), whose sum is σ = 344064000. Its totient is φ = 30953664.

The previous prime is 112228943. The next prime is 112228957. The reversal of 112228956 is 659822211.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 112228956.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112228957) 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, 19365 + ... + 24483.

It is an arithmetic number, because the mean of its divisors is an integer number (3584000).

Almost surely, 2112228956 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 112228956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172032000).

112228956 is an abundant number, since it is smaller than the sum of its proper divisors (231835044).

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

112228956 is a wasteful number, since it uses less digits than its factorization.

112228956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5168 (or 5160 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 112228956 is about 10593.8168758951. The cubic root of 112228956 is about 482.3566914908.

The spelling of 112228956 in words is "one hundred twelve million, two hundred twenty-eight thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 29 36 42 54 58 63 84 87 108 116 126 174 189 203 252 261 348 378 406 522 609 756 783 812 1044 1218 1566 1827 2436 3132 3654 5119 5481 7308 10238 10962 15357 20476 21924 30714 35833 46071 61428 71666 92142 107499 138213 143332 148451 184284 214998 276426 296902 322497 429996 445353 552852 593804 644994 890706 967491 1039157 1289988 1336059 1781412 1934982 2078314 2672118 3117471 3869964 4008177 4156628 5344236 6234942 8016354 9352413 12469884 16032708 18704826 28057239 37409652 56114478 112228956