223424064 has 84 divisors (see below), whose sum is σ = 678105324. Its totient is φ = 70090752.

The previous prime is 223424039. The next prime is 223424083. The reversal of 223424064 is 460424322.

It can be written as a sum of positive squares in 2 ways, for example, as 207360000 + 16064064 = 14400^2 + 4008^2 .

It is an unprimeable number.

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, 1617 + ... + 21200.

Almost surely, 2^223424064 is an apocalyptic number.

223424064 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 223424064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339052662).

223424064 is an abundant number, since it is smaller than the sum of its proper divisors (454681260).

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

223424064 is a wasteful number, since it uses less digits than its factorization.

223424064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22852 (or 22839 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 223424064 is about 14947.3764922143. The cubic root of 223424064 is about 606.7968473736.

Adding to 223424064 its reverse (460424322), we get a palindrome (683848386).

The spelling of 223424064 in words is "two hundred twenty-three million, four hundred twenty-four thousand, sixty-four".