222280288000 has 144 divisors (see below), whose sum is σ = 554555514240. Its totient is φ = 88779264000.

The previous prime is 222280287961. The next prime is 222280288019. The reversal of 222280288000 is 882082222.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 23003170 + ... + 23012830.

It is an arithmetic number, because the mean of its divisors is an integer number (3851079960).

Almost surely, 2^222280288000 is an apocalyptic number.

222280288000 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 222280288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277277757120).

222280288000 is an abundant number, since it is smaller than the sum of its proper divisors (332275226240).

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

222280288000 is an frugal number, since it uses more digits than its factorization.

222280288000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10411 (or 10387 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 34.

The spelling of 222280288000 in words is "two hundred twenty-two billion, two hundred eighty million, two hundred eighty-eight thousand".