224432032 has 48 divisors (see below), whose sum is σ = 493807104. Its totient is φ = 99520000.

The previous prime is 224432029. The next prime is 224432057. The reversal of 224432032 is 230234422.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 224431994 and 224432012.

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, 6657 + ... + 22207.

It is an arithmetic number, because the mean of its divisors is an integer number (10287648).

Almost surely, 2^224432032 is an apocalyptic number.

224432032 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 224432032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246903552).

224432032 is an abundant number, since it is smaller than the sum of its proper divisors (269375072).

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

224432032 is a wasteful number, since it uses less digits than its factorization.

224432032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15613 (or 15605 counting only the distinct ones).

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

The square root of 224432032 is about 14981.0557705390. The cubic root of 224432032 is about 607.7079911252.

Adding to 224432032 its reverse (230234422), we get a palindrome (454666454).

The spelling of 224432032 in words is "two hundred twenty-four million, four hundred thirty-two thousand, thirty-two".