112228224 has 128 divisors (see below), whose sum is σ = 316673280. Its totient is φ = 35143680.

The previous prime is 112228223. The next prime is 112228241. The reversal of 112228224 is 422822211.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

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

Its product of digits (1024) is a multiple of the sum of its prime divisors (256).

It is a junction number, because it is equal to n+sod(n) for n = 112228194 and 112228203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112228223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 856639 + ... + 856769.

It is an arithmetic number, because the mean of its divisors is an integer number (2474010).

Almost surely, 2^112228224 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 112228224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158336640).

112228224 is an abundant number, since it is smaller than the sum of its proper divisors (204445056).

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

112228224 is a wasteful number, since it uses less digits than its factorization.

112228224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 256 counting only the distinct ones).

The product of its digits is 1024, while the sum is 24.

The square root of 112228224 is about 10593.7823273843. The cubic root of 112228224 is about 482.3556427839.

The spelling of 112228224 in words is "one hundred twelve million, two hundred twenty-eight thousand, two hundred twenty-four".