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112331232 = 25331373137
BaseRepresentation
bin1101011001000…
…00100111100000
321211101000111000
412230200213200
5212224044412
615051352000
72532541206
oct654404740
9254330430
10112331232
1158454132
1231752600
131a3704b0
1410cc1076
159cdd4dc
hex6b209e0

112331232 has 192 divisors, whose sum is σ = 360279360. Its totient is φ = 33841152.

The previous prime is 112331231. The next prime is 112331237. The reversal of 112331232 is 232133211.

It is a super-3 number, since 3×1123312323 (a number of 25 digits) contains 333 as substring.

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

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 (112331231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 819868 + ... + 820004.

It is an arithmetic number, because the mean of its divisors is an integer number (1876455).

Almost surely, 2112331232 is an apocalyptic number.

112331232 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 112331232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180139680).

112331232 is an abundant number, since it is smaller than the sum of its proper divisors (247948128).

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

112331232 is a wasteful number, since it uses less digits than its factorization.

112331232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 228 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 112331232 is about 10598.6429319984. The cubic root of 112331232 is about 482.5031733977.

Adding to 112331232 its reverse (232133211), we get a palindrome (344464443).

The spelling of 112331232 in words is "one hundred twelve million, three hundred thirty-one thousand, two hundred thirty-two".