224312112 has 160 divisors (see below), whose sum is σ = 669332160. Its totient is φ = 71884800.

The previous prime is 224312087. The next prime is 224312113. The reversal of 224312112 is 211213422.

It is a happy number.

224312112 is a `hidden beast` number, since 22 + 431 + 211 + 2 = 666.

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.

It is not an unprimeable number, because it can be changed into a prime (224312113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2220862 + ... + 2220962.

It is an arithmetic number, because the mean of its divisors is an integer number (4183326).

Almost surely, 2^224312112 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 224312112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334666080).

224312112 is an abundant number, since it is smaller than the sum of its proper divisors (445020048).

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

224312112 is a wasteful number, since it uses less digits than its factorization.

224312112 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 192, while the sum is 18.

The square root of 224312112 is about 14977.0528476066. The cubic root of 224312112 is about 607.5997336639.

Adding to 224312112 its reverse (211213422), we get a palindrome (435525534).

It can be divided in two parts, 22 and 4312112, that added together give a palindrome (4312134).

The spelling of 224312112 in words is "two hundred twenty-four million, three hundred twelve thousand, one hundred twelve".