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112708224 = 2732227431
BaseRepresentation
bin1101011011111…
…00101010000000
321212002011121200
412231330222000
5212323130344
615103421200
72536001256
oct655745200
9255064550
10112708224
11586913a2
12318b4800
131a472c75
1410d7c5d6
159d65069
hex6b7ca80

112708224 has 96 divisors (see below), whose sum is σ = 326514240. Its totient is φ = 37317120.

The previous prime is 112708217. The next prime is 112708237. The reversal of 112708224 is 422807211.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 261289 + ... + 261719.

It is an arithmetic number, because the mean of its divisors is an integer number (3401190).

Almost surely, 2112708224 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 112708224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163257120).

112708224 is an abundant number, since it is smaller than the sum of its proper divisors (213806016).

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

112708224 is a wasteful number, since it uses less digits than its factorization.

112708224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 112708224 is about 10616.4129535357. The cubic root of 112708224 is about 483.0423429051.

The spelling of 112708224 in words is "one hundred twelve million, seven hundred eight thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 227 288 384 431 454 576 681 862 908 1152 1293 1362 1724 1816 2043 2586 2724 3448 3632 3879 4086 5172 5448 6896 7264 7758 8172 10344 10896 13792 14528 15516 16344 20688 21792 27584 29056 31032 32688 41376 43584 55168 62064 65376 82752 87168 97837 124128 130752 165504 195674 248256 261504 293511 391348 496512 587022 782696 880533 1174044 1565392 1761066 2348088 3130784 3522132 4696176 6261568 7044264 9392352 12523136 14088528 18784704 28177056 37569408 56354112 112708224