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112243032 = 233211197459
BaseRepresentation
bin1101011000010…
…11000101011000
321211012112111100
412230023011120
5212213234112
615045431400
72532023106
oct654130530
9254175440
10112243032
11583a3940
123170b560
131a33c2c5
1410c9ac76
159cc22dc
hex6b0b158

112243032 has 96 divisors (see below), whose sum is σ = 349128000. Its totient is φ = 32218560.

The previous prime is 112243007. The next prime is 112243037. The reversal of 112243032 is 230342211.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 112242996 and 112243014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112243037) 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, 11319 + ... + 18777.

It is an arithmetic number, because the mean of its divisors is an integer number (3636750).

Almost surely, 2112243032 is an apocalyptic number.

112243032 is a gapful number since it is divisible by the number (12) 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 112243032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174564000).

112243032 is an abundant number, since it is smaller than the sum of its proper divisors (236884968).

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

112243032 is a wasteful number, since it uses less digits than its factorization.

112243032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7501 (or 7494 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 112243032 is about 10594.4812048538. The cubic root of 112243032 is about 482.3768567233.

Adding to 112243032 its reverse (230342211), we get a palindrome (342585243).

The spelling of 112243032 in words is "one hundred twelve million, two hundred forty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 19 22 24 33 36 38 44 57 66 72 76 88 99 114 132 152 171 198 209 228 264 342 396 418 456 627 684 792 836 1254 1368 1672 1881 2508 3762 5016 7459 7524 14918 15048 22377 29836 44754 59672 67131 82049 89508 134262 141721 164098 179016 246147 268524 283442 328196 425163 492294 537048 566884 656392 738441 850326 984588 1133768 1275489 1476882 1558931 1700652 1969176 2550978 2953764 3117862 3401304 4676793 5101956 5907528 6235724 9353586 10203912 12471448 14030379 18707172 28060758 37414344 56121516 112243032