222072084 has 144 divisors (see below), whose sum is σ = 651772800. Its totient is φ = 65359008.

The previous prime is 222072077. The next prime is 222072121. The reversal of 222072084 is 480270222.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

222072084 is digitally balanced in base 3, 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 (27).

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 47 ways as a sum of consecutive naturals, for example, 9655297 + ... + 9655319.

It is an arithmetic number, because the mean of its divisors is an integer number (4526200).

Almost surely, 2^222072084 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222072084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325886400).

222072084 is an abundant number, since it is smaller than the sum of its proper divisors (429700716).

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

222072084 is a wasteful number, since it uses less digits than its factorization.

222072084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 222072084 is about 14902.0832100750. The cubic root of 222072084 is about 605.5704239177.

The spelling of 222072084 in words is "two hundred twenty-two million, seventy-two thousand, eighty-four".