223359840 has 288 divisors, whose sum is σ = 849139200. Its totient is φ = 53007360.

The previous prime is 223359833. The next prime is 223359859. The reversal of 223359840 is 48953322.

223359840 is a `hidden beast` number, since 2 + 23 + 3 + 598 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 223359795 and 223359804.

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 47 ways as a sum of consecutive naturals, for example, 934441 + ... + 934679.

It is an arithmetic number, because the mean of its divisors is an integer number (2948400).

Almost surely, 2^223359840 is an apocalyptic number.

223359840 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 223359840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424569600).

223359840 is an abundant number, since it is smaller than the sum of its proper divisors (625779360).

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

223359840 is a wasteful number, since it uses less digits than its factorization.

223359840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 223359840 is about 14945.2280009373. The cubic root of 223359840 is about 606.7386998689.

It can be divided in two parts, 223 and 359840, that added together give a palindrome (360063).

The spelling of 223359840 in words is "two hundred twenty-three million, three hundred fifty-nine thousand, eight hundred forty".