224322432 has 64 divisors (see below), whose sum is σ = 604819200. Its totient is φ = 73649664.

The previous prime is 224322421. The next prime is 224322451. The reversal of 224322432 is 234223422.

It is a happy number.

224322432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21369 + ... + 30087.

It is an arithmetic number, because the mean of its divisors is an integer number (9450300).

Almost surely, 2^224322432 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 224322432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302409600).

224322432 is an abundant number, since it is smaller than the sum of its proper divisors (380496768).

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

224322432 is an equidigital number, since it uses as much as digits as its factorization.

224322432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8803 (or 8791 counting only the distinct ones).

The product of its digits is 4608, while the sum is 24.

The square root of 224322432 is about 14977.3973707050. The cubic root of 224322432 is about 607.6090515336.

Adding to 224322432 its reverse (234223422), we get a palindrome (458545854).

The spelling of 224322432 in words is "two hundred twenty-four million, three hundred twenty-two thousand, four hundred thirty-two".