223024000 has 128 divisors (see below), whose sum is σ = 567103680. Its totient is φ = 87193600.

The previous prime is 223023989. The next prime is 223024027. The reversal of 223024000 is 420322.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 847869 + ... + 848131.

Almost surely, 2^223024000 is an apocalyptic number.

223024000 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 223024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283551840).

223024000 is an abundant number, since it is smaller than the sum of its proper divisors (344079680).

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

223024000 is an equidigital number, since it uses as much as digits as its factorization.

223024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 223024000 is about 14933.9880808845. The cubic root of 223024000 is about 606.4344533860.

Adding to 223024000 its reverse (420322), we get a palindrome (223444322).

The spelling of 223024000 in words is "two hundred twenty-three million, twenty-four thousand".