223884000 has 240 divisors, whose sum is σ = 822918096. Its totient is φ = 59616000.

The previous prime is 223883987. The next prime is 223884007. The reversal of 223884000 is 488322.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223884007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 323655 + ... + 324345.

Almost surely, 2^223884000 is an apocalyptic number.

223884000 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 223884000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411459048).

223884000 is an abundant number, since it is smaller than the sum of its proper divisors (599034096).

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

223884000 is an equidigital number, since it uses as much as digits as its factorization.

223884000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 223884000 is about 14962.7537572467. The cubic root of 223884000 is about 607.2129416542.

The spelling of 223884000 in words is "two hundred twenty-three million, eight hundred eighty-four thousand".