222388288800 has 288 divisors, whose sum is σ = 735414930432. Its totient is φ = 58365281280.

The previous prime is 222388288709. The next prime is 222388288813. The reversal of 222388288800 is 8882883222.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41279707 + ... + 41285093.

It is an arithmetic number, because the mean of its divisors is an integer number (2553524064).

Almost surely, 2^222388288800 is an apocalyptic number.

222388288800 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 222388288800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367707465216).

222388288800 is an abundant number, since it is smaller than the sum of its proper divisors (513026641632).

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

222388288800 is a wasteful number, since it uses less digits than its factorization.

222388288800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5680 (or 5667 counting only the distinct ones).

The product of its (nonzero) digits is 1572864, while the sum is 51.

The spelling of 222388288800 in words is "two hundred twenty-two billion, three hundred eighty-eight million, two hundred eighty-eight thousand, eight hundred".