112226016 has 192 divisors, whose sum is σ = 360557568. Its totient is φ = 29872128.

The previous prime is 112226003. The next prime is 112226017. The reversal of 112226016 is 610622211.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 112225983 and 112226001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112226017) 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 31 ways as a sum of consecutive naturals, for example, 819100 + ... + 819236.

It is an arithmetic number, because the mean of its divisors is an integer number (1877904).

Almost surely, 2^112226016 is an apocalyptic number.

112226016 is a gapful number since it is divisible by the number (16) 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 112226016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180278784).

112226016 is an abundant number, since it is smaller than the sum of its proper divisors (248331552).

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

112226016 is a wasteful number, since it uses less digits than its factorization.

112226016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 112226016 is about 10593.6781148004. The cubic root of 112226016 is about 482.3524794434.

Adding to 112226016 its reverse (610622211), we get a palindrome (722848227).

It can be divided in two parts, 112 and 226016, that added together give a triangular number (226128 = T₆₇₂).

The spelling of 112226016 in words is "one hundred twelve million, two hundred twenty-six thousand, sixteen".