224822432 has 48 divisors (see below), whose sum is σ = 457736832. Its totient is φ = 108633600.

The previous prime is 224822371. The next prime is 224822443. The reversal of 224822432 is 234228422.

It is a junction number, because it is equal to n+sod(n) for n = 224822395 and 224822404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 123932 + ... + 125732.

It is an arithmetic number, because the mean of its divisors is an integer number (9536184).

Almost surely, 2^224822432 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 224822432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228868416).

224822432 is an abundant number, since it is smaller than the sum of its proper divisors (232914400).

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

224822432 is a wasteful number, since it uses less digits than its factorization.

224822432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1941 (or 1933 counting only the distinct ones).

The product of its digits is 12288, while the sum is 29.

The square root of 224822432 is about 14994.0798984132. The cubic root of 224822432 is about 608.0601567901.

The spelling of 224822432 in words is "two hundred twenty-four million, eight hundred twenty-two thousand, four hundred thirty-two".