222984729600 has 1056 divisors, whose sum is σ = 838850774400. Its totient is φ = 51904512000.

The previous prime is 222984729599. The next prime is 222984729647. The reversal of 222984729600 is 6927489222.

222984729600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 2207769550 + ... + 2207769650.

Almost surely, 2^222984729600 is an apocalyptic number.

222984729600 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 222984729600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419425387200).

222984729600 is an abundant number, since it is smaller than the sum of its proper divisors (615866044800).

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

222984729600 is a wasteful number, since it uses less digits than its factorization.

222984729600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 222984729600 in words is "two hundred twenty-two billion, nine hundred eighty-four million, seven hundred twenty-nine thousand, six hundred".