223965840 has 160 divisors (see below), whose sum is σ = 821018880. Its totient is φ = 49416192.

The previous prime is 223965839. The next prime is 223965883. The reversal of 223965840 is 48569322.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46422 + ... + 51018.

It is an arithmetic number, because the mean of its divisors is an integer number (5131368).

Almost surely, 2^223965840 is an apocalyptic number.

223965840 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 223965840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410509440).

223965840 is an abundant number, since it is smaller than the sum of its proper divisors (597053040).

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

223965840 is a wasteful number, since it uses less digits than its factorization.

223965840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4649 (or 4643 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 223965840 is about 14965.4882980810. The cubic root of 223965840 is about 607.2869208178.

The spelling of 223965840 in words is "two hundred twenty-three million, nine hundred sixty-five thousand, eight hundred forty".