223228512000 has 864 divisors, whose sum is σ = 874561047360. Its totient is φ = 54344908800.

The previous prime is 223228511953. The next prime is 223228512011. The reversal of 223228512000 is 215822322.

223228512000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×223228512000³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 408095727 + ... + 408096273.

Almost surely, 2^223228512000 is an apocalyptic number.

223228512000 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 223228512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437280523680).

223228512000 is an abundant number, since it is smaller than the sum of its proper divisors (651332535360).

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

223228512000 is a wasteful number, since it uses less digits than its factorization.

223228512000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 223228512000 in words is "two hundred twenty-three billion, two hundred twenty-eight million, five hundred twelve thousand".