222241344000 has 640 divisors, whose sum is σ = 801106225920. Its totient is φ = 54337536000.

The previous prime is 222241343999. The next prime is 222241344011. The reversal of 222241344000 is 443142222.

222241344000 is digitally balanced in base 2, 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 (640).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 63 ways as a sum of consecutive naturals, for example, 671423835 + ... + 671424165.

It is an arithmetic number, because the mean of its divisors is an integer number (1251728478).

Almost surely, 2^222241344000 is an apocalyptic number.

222241344000 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 222241344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400553112960).

222241344000 is an abundant number, since it is smaller than the sum of its proper divisors (578864881920).

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

222241344000 is a wasteful number, since it uses less digits than its factorization.

222241344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 222241344000 its reverse (443142222), we get a palindrome (222684486222).

The spelling of 222241344000 in words is "two hundred twenty-two billion, two hundred forty-one million, three hundred forty-four thousand".