112282248 has 192 divisors, whose sum is σ = 337305600. Its totient is φ = 31000320.

The previous prime is 112282237. The next prime is 112282259. The reversal of 112282248 is 842282211.

It is an interprime number because it is at equal distance from previous prime (112282237) and next prime (112282259).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2388961 + ... + 2389007.

It is an arithmetic number, because the mean of its divisors is an integer number (1756800).

Almost surely, 2^112282248 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 112282248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168652800).

112282248 is an abundant number, since it is smaller than the sum of its proper divisors (225023352).

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

112282248 is a wasteful number, since it uses less digits than its factorization.

112282248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 115 counting only the distinct ones).

The product of its digits is 4096, while the sum is 30.

The square root of 112282248 is about 10596.3318181340. The cubic root of 112282248 is about 482.4330285491.

The spelling of 112282248 in words is "one hundred twelve million, two hundred eighty-two thousand, two hundred forty-eight".