224222314112 has 64 divisors (see below), whose sum is σ = 456552905760. Its totient is φ = 109663257600.

The previous prime is 224222314111. The next prime is 224222314133. The reversal of 224222314112 is 211413222422.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×224222314112² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (224222314111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 968543 + ... + 1177505.

Almost surely, 2^224222314112 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 224222314112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228276452880).

224222314112 is an abundant number, since it is smaller than the sum of its proper divisors (232330591648).

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

224222314112 is a wasteful number, since it uses less digits than its factorization.

224222314112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209161 (or 209149 counting only the distinct ones).

The product of its digits is 3072, while the sum is 26.

Adding to 224222314112 its reverse (211413222422), we get a palindrome (435635536534).

The spelling of 224222314112 in words is "two hundred twenty-four billion, two hundred twenty-two million, three hundred fourteen thousand, one hundred twelve".