223735680 has 384 divisors, whose sum is σ = 916531200. Its totient is φ = 49213440.

The previous prime is 223735669. The next prime is 223735709. The reversal of 223735680 is 86537322.

223735680 is a `hidden beast` number, since 2 + 23 + 73 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

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, 1249831 + ... + 1250009.

It is an arithmetic number, because the mean of its divisors is an integer number (2386800).

Almost surely, 2^223735680 is an apocalyptic number.

223735680 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 223735680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458265600).

223735680 is an abundant number, since it is smaller than the sum of its proper divisors (692795520).

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

223735680 is a wasteful number, since it uses less digits than its factorization.

223735680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 223735680 is about 14957.7966291831. The cubic root of 223735680 is about 607.0788220222.

The spelling of 223735680 in words is "two hundred twenty-three million, seven hundred thirty-five thousand, six hundred eighty".