224738304 has 132 divisors (see below), whose sum is σ = 697273704. Its totient is φ = 64167936.

The previous prime is 224738299. The next prime is 224738309. The reversal of 224738304 is 403837422.

It is an interprime number because it is at equal distance from previous prime (224738299) and next prime (224738309).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224738309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 149782 + ... + 151274.

Almost surely, 2^224738304 is an apocalyptic number.

224738304 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 224738304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348636852).

224738304 is an abundant number, since it is smaller than the sum of its proper divisors (472535400).

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

224738304 is a wasteful number, since it uses less digits than its factorization.

224738304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1530 (or 1505 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The square root of 224738304 is about 14991.2742620499. The cubic root of 224738304 is about 607.9843024571.

The spelling of 224738304 in words is "two hundred twenty-four million, seven hundred thirty-eight thousand, three hundred four".