224364504 has 128 divisors (see below), whose sum is σ = 731082240. Its totient is φ = 55683072.

The previous prime is 224364479. The next prime is 224364509. The reversal of 224364504 is 405463422.

224364504 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224364509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34107 + ... + 40149.

It is an arithmetic number, because the mean of its divisors is an integer number (5711580).

Almost surely, 2^224364504 is an apocalyptic number.

224364504 is a gapful number since it is divisible by the number (24) 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 224364504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365541120).

224364504 is an abundant number, since it is smaller than the sum of its proper divisors (506717736).

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

224364504 is a wasteful number, since it uses less digits than its factorization.

224364504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6089 (or 6085 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The square root of 224364504 is about 14978.8018212406. The cubic root of 224364504 is about 607.6470351476.

The spelling of 224364504 in words is "two hundred twenty-four million, three hundred sixty-four thousand, five hundred four".