223947360 has 288 divisors, whose sum is σ = 941129280. Its totient is φ = 47222784.

The previous prime is 223947359. The next prime is 223947413. The reversal of 223947360 is 63749322.

It is a happy number.

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 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, 130186 + ... + 131894.

It is an arithmetic number, because the mean of its divisors is an integer number (3267810).

Almost surely, 2^223947360 is an apocalyptic number.

223947360 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 223947360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470564640).

223947360 is an abundant number, since it is smaller than the sum of its proper divisors (717181920).

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

223947360 is a wasteful number, since it uses less digits than its factorization.

223947360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1750 (or 1739 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 223947360 is about 14964.8708647953. The cubic root of 223947360 is about 607.2702174209.

The spelling of 223947360 in words is "two hundred twenty-three million, nine hundred forty-seven thousand, three hundred sixty".