223256880 has 240 divisors, whose sum is σ = 935011584. Its totient is φ = 46379520.

The previous prime is 223256867. The next prime is 223256899. The reversal of 223256880 is 88652322.

223256880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-3 number, since 3×223256880³ (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, 53427 + ... + 57453.

Almost surely, 2^223256880 is an apocalyptic number.

223256880 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 223256880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467505792).

223256880 is an abundant number, since it is smaller than the sum of its proper divisors (711754704).

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

223256880 is a wasteful number, since it uses less digits than its factorization.

223256880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4064 (or 4055 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 223256880 is about 14941.7830261318. The cubic root of 223256880 is about 606.6454580733.

The spelling of 223256880 in words is "two hundred twenty-three million, two hundred fifty-six thousand, eight hundred eighty".