224830040 has 96 divisors (see below), whose sum is σ = 556362000. Its totient is φ = 81446400.

The previous prime is 224830033. The next prime is 224830043. The reversal of 224830040 is 40038422.

It is a junction number, because it is equal to n+sod(n) for n = 224829988 and 224830015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224830043) 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 23 ways as a sum of consecutive naturals, for example, 2225990 + ... + 2226090.

Almost surely, 2^224830040 is an apocalyptic number.

224830040 is a gapful number since it is divisible by the number (20) 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 224830040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278181000).

224830040 is an abundant number, since it is smaller than the sum of its proper divisors (331531960).

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

224830040 is a wasteful number, since it uses less digits than its factorization.

224830040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 224830040 is about 14994.3335963957. Note that the first 3 decimals coincide. The cubic root of 224830040 is about 608.0670156394.

Adding to 224830040 its reverse (40038422), we get a palindrome (264868462).

The spelling of 224830040 in words is "two hundred twenty-four million, eight hundred thirty thousand, forty".