224102032 has 80 divisors (see below), whose sum is σ = 547000704. Its totient is φ = 86400000.

The previous prime is 224102029. The next prime is 224102033. The reversal of 224102032 is 230201422.

224102032 is digitally balanced in base 3, 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 (16).

It is a junction number, because it is equal to n+sod(n) for n = 224101997 and 224102015.

It is not an unprimeable number, because it can be changed into a prime (224102033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123532 + ... + 125332.

Almost surely, 2^224102032 is an apocalyptic number.

224102032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224102032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273500352).

224102032 is an abundant number, since it is smaller than the sum of its proper divisors (322898672).

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

224102032 is a wasteful number, since it uses less digits than its factorization.

224102032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1928 (or 1922 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 224102032 is about 14970.0378089035. The cubic root of 224102032 is about 607.4099914631.

Adding to 224102032 its reverse (230201422), we get a palindrome (454303454).

It can be divided in two parts, 22410 and 2032, that added together give a palindrome (24442).

The spelling of 224102032 in words is "two hundred twenty-four million, one hundred two thousand, thirty-two".