224010430032 has 160 divisors (see below), whose sum is σ = 589349779200. Its totient is φ = 73311215616.

The previous prime is 224010430001. The next prime is 224010430043. The reversal of 224010430032 is 230034010422.

It is a junction number, because it is equal to n+sod(n) for n = 224010429990 and 224010430008.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 517344888 + ... + 517345320.

It is an arithmetic number, because the mean of its divisors is an integer number (3683436120).

Almost surely, 2^224010430032 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 224010430032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294674889600).

224010430032 is an abundant number, since it is smaller than the sum of its proper divisors (365339349168).

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

224010430032 is a wasteful number, since it uses less digits than its factorization.

224010430032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1205 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 224010430032 its reverse (230034010422), we get a palindrome (454044440454).

The spelling of 224010430032 in words is "two hundred twenty-four billion, ten million, four hundred thirty thousand, thirty-two".