224005032 has 48 divisors (see below), whose sum is σ = 610434240. Its totient is φ = 74206368.

The previous prime is 224005021. The next prime is 224005037. The reversal of 224005032 is 230500422.

It is a super-2 number, since 2×224005032² = 100356508722642048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 224004996 and 224005014.

It is not an unprimeable number, because it can be changed into a prime (224005037) 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 11 ways as a sum of consecutive naturals, for example, 2193 + ... + 21279.

It is an arithmetic number, because the mean of its divisors is an integer number (12717380).

Almost surely, 2^224005032 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 224005032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305217120).

224005032 is an abundant number, since it is smaller than the sum of its proper divisors (386429208).

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

224005032 is a wasteful number, since it uses less digits than its factorization.

224005032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19262 (or 19255 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 224005032 is about 14966.7976534728. The cubic root of 224005032 is about 607.3223419946.

Adding to 224005032 its reverse (230500422), we get a palindrome (454505454).

The spelling of 224005032 in words is "two hundred twenty-four million, five thousand, thirty-two".