223936560 has 240 divisors, whose sum is σ = 792330240. Its totient is φ = 56609280.

The previous prime is 223936513. The next prime is 223936577. The reversal of 223936560 is 65639322.

223936560 is a `hidden beast` number, since 2 + 2 + 3 + 93 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×223936560³ (a number of 26 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1763217 + ... + 1763343.

It is an arithmetic number, because the mean of its divisors is an integer number (3301376).

Almost surely, 2^223936560 is an apocalyptic number.

223936560 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 223936560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396165120).

223936560 is an abundant number, since it is smaller than the sum of its proper divisors (568393680).

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

223936560 is a wasteful number, since it uses less digits than its factorization.

223936560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 223936560 is about 14964.5100153664. The cubic root of 223936560 is about 607.2604552699.

The spelling of 223936560 in words is "two hundred twenty-three million, nine hundred thirty-six thousand, five hundred sixty".