223040000 has 200 divisors, whose sum is σ = 604016028. Its totient is φ = 81920000.

The previous prime is 223039987. The next prime is 223040021. The reversal of 223040000 is 40322.

223040000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 36772096 + 186267904 = 6064^2 + 13648^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5439980 + ... + 5440020.

Almost surely, 2^223040000 is an apocalyptic number.

223040000 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 223040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302008014).

223040000 is an abundant number, since it is smaller than the sum of its proper divisors (380976028).

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

223040000 is an frugal number, since it uses more digits than its factorization.

223040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 223040000 is about 14934.5237620756. The cubic root of 223040000 is about 606.4489551425.

Adding to 223040000 its reverse (40322), we get a palindrome (223080322).

The spelling of 223040000 in words is "two hundred twenty-three million, forty thousand".