222816000 has 288 divisors, whose sum is σ = 811190016. Its totient is φ = 53760000.

The previous prime is 222815993. The next prime is 222816001. The reversal of 222816000 is 618222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222816001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1055895 + ... + 1056105.

It is an arithmetic number, because the mean of its divisors is an integer number (2816632).

Almost surely, 2^222816000 is an apocalyptic number.

222816000 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 222816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405595008).

222816000 is an abundant number, since it is smaller than the sum of its proper divisors (588374016).

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

222816000 is a wasteful number, since it uses less digits than its factorization.

222816000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 222816000 is about 14927.0224760332. The cubic root of 222816000 is about 606.2458674037.

The spelling of 222816000 in words is "two hundred twenty-two million, eight hundred sixteen thousand".