224082432 has 120 divisors (see below), whose sum is σ = 739211616. Its totient is φ = 64014336.

The previous prime is 224082431. The next prime is 224082433. The reversal of 224082432 is 234280422.

224082432 is a `hidden beast` number, since 224 + 0 + 8 + 2 + 432 = 666.

It is an interprime number because it is at equal distance from previous prime (224082431) and next prime (224082433).

It is a junction number, because it is equal to n+sod(n) for n = 224082396 and 224082405.

It is not an unprimeable number, because it can be changed into a prime (224082431) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28783 + ... + 35729.

Almost surely, 2^224082432 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 224082432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369605808).

224082432 is an abundant number, since it is smaller than the sum of its proper divisors (515129184).

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

224082432 is an equidigital number, since it uses as much as digits as its factorization.

224082432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6978 (or 6959 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 224082432 is about 14969.3831536239. The cubic root of 224082432 is about 607.3922828881.

The spelling of 224082432 in words is "two hundred twenty-four million, eighty-two thousand, four hundred thirty-two".