224320432 has 60 divisors (see below), whose sum is σ = 507623760. Its totient is φ = 95749248.

The previous prime is 224320429. The next prime is 224320451. The reversal of 224320432 is 234023422.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 281058 + ... + 281854.

It is an arithmetic number, because the mean of its divisors is an integer number (8460396).

Almost surely, 2^224320432 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 224320432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253811880).

224320432 is an abundant number, since it is smaller than the sum of its proper divisors (283303328).

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

224320432 is a wasteful number, since it uses less digits than its factorization.

224320432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178 (or 1165 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 224320432 is about 14977.3306032817. The cubic root of 224320432 is about 607.6072457672.

Adding to 224320432 its reverse (234023422), we get a palindrome (458343854).

The spelling of 224320432 in words is "two hundred twenty-four million, three hundred twenty thousand, four hundred thirty-two".