224032411332 has 96 divisors (see below), whose sum is σ = 604074508800. Its totient is φ = 71739323136.

The previous prime is 224032411259. The next prime is 224032411333. The reversal of 224032411332 is 233114230422.

224032411332 is a `hidden beast` number, since 2 + 2 + 4 + 0 + 324 + 1 + 1 + 332 = 666.

224032411332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 224032411296 and 224032411305.

It is not an unprimeable number, because it can be changed into a prime (224032411333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39153 + ... + 670520.

It is an arithmetic number, because the mean of its divisors is an integer number (6292442800).

Almost surely, 2^224032411332 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 224032411332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302037254400).

224032411332 is an abundant number, since it is smaller than the sum of its proper divisors (380042097468).

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

224032411332 is a wasteful number, since it uses less digits than its factorization.

224032411332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709802 (or 709794 counting only the distinct ones).

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

Adding to 224032411332 its reverse (233114230422), we get a palindrome (457146641754).

The spelling of 224032411332 in words is "two hundred twenty-four billion, thirty-two million, four hundred eleven thousand, three hundred thirty-two".