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112234200 = 233521314389
BaseRepresentation
bin1101011000010…
…00111011011000
321211012002101020
412230020323120
5212212443300
615045322440
72531655261
oct654107330
9254162336
10112234200
1158398241
1231706420
131a338290
1410c97968
159cbe8a0
hex6b08ed8

112234200 has 96 divisors (see below), whose sum is σ = 374715600. Its totient is φ = 27624960.

The previous prime is 112234193. The next prime is 112234201. The reversal of 112234200 is 2432211.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 112234200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112234201) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 606 + ... + 14994.

Almost surely, 2112234200 is an apocalyptic number.

112234200 is a gapful number since it is divisible by the number (10) 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 112234200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187357800).

112234200 is an abundant number, since it is smaller than the sum of its proper divisors (262481400).

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

112234200 is a wasteful number, since it uses less digits than its factorization.

112234200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14421 (or 14412 counting only the distinct ones).

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

The square root of 112234200 is about 10594.0643758663. The cubic root of 112234200 is about 482.3642042255.

Adding to 112234200 its reverse (2432211), we get a palindrome (114666411).

The spelling of 112234200 in words is "one hundred twelve million, two hundred thirty-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 130 150 156 195 200 260 300 312 325 390 520 600 650 780 975 1300 1560 1950 2600 3900 7800 14389 28778 43167 57556 71945 86334 115112 143890 172668 187057 215835 287780 345336 359725 374114 431670 561171 575560 719450 748228 863340 935285 1079175 1122342 1438900 1496456 1726680 1870570 2158350 2244684 2805855 2877800 3741140 4316700 4489368 4676425 5611710 7482280 8633400 9352850 11223420 14029275 18705700 22446840 28058550 37411400 56117100 112234200