223924960 has 48 divisors (see below), whose sum is σ = 604600416. Its totient is φ = 76773888.

The previous prime is 223924891. The next prime is 223924963. The reversal of 223924960 is 69429322.

It is a super-2 number, since 2×223924960² = 100284775422003200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223924963) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 98847 + ... + 101086.

It is an arithmetic number, because the mean of its divisors is an integer number (12595842).

Almost surely, 2^223924960 is an apocalyptic number.

223924960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223924960 is an abundant number, since it is smaller than the sum of its proper divisors (380675456).

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

223924960 is a wasteful number, since it uses less digits than its factorization.

223924960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199955 (or 199947 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 37.

The square root of 223924960 is about 14964.1224266577. The cubic root of 223924960 is about 607.2499696471.

The spelling of 223924960 in words is "two hundred twenty-three million, nine hundred twenty-four thousand, nine hundred sixty".