224013006 has 96 divisors (see below), whose sum is σ = 597980160. Its totient is φ = 61916400.

The previous prime is 224013001. The next prime is 224013017. The reversal of 224013006 is 600310422.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 224013006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224013001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80661 + ... + 83391.

It is an arithmetic number, because the mean of its divisors is an integer number (6228960).

Almost surely, 2^224013006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224013006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298990080).

224013006 is an abundant number, since it is smaller than the sum of its proper divisors (373967154).

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

224013006 is a wasteful number, since it uses less digits than its factorization.

224013006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2787 (or 2774 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 224013006 is about 14967.0640407529. The cubic root of 224013006 is about 607.3295482775.

Adding to 224013006 its reverse (600310422), we get a palindrome (824323428).

The spelling of 224013006 in words is "two hundred twenty-four million, thirteen thousand, six".