224231321232 has 120 divisors (see below), whose sum is σ = 632052320120. Its totient is φ = 74206679040.

The previous prime is 224231321221. The next prime is 224231321243. The reversal of 224231321232 is 232123132422.

224231321232 is a `hidden beast` number, since 2 + 2 + 423 + 1 + 3 + 2 + 1 + 232 = 666.

It is an interprime number because it is at equal distance from previous prime (224231321221) and next prime (224231321243).

It can be written as a sum of positive squares in 4 ways, for example, as 34609393296 + 189621927936 = 186036^2 + 435456^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 224231321196 and 224231321205.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33659982 + ... + 33666642.

Almost surely, 2^224231321232 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 224231321232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316026160060).

224231321232 is an abundant number, since it is smaller than the sum of its proper divisors (407820998888).

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

224231321232 is a wasteful number, since it uses less digits than its factorization.

224231321232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8321 (or 8312 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

Adding to 224231321232 its reverse (232123132422), we get a palindrome (456354453654).

The spelling of 224231321232 in words is "two hundred twenty-four billion, two hundred thirty-one million, three hundred twenty-one thousand, two hundred thirty-two".