222255072 has 288 divisors, whose sum is σ = 742996800. Its totient is φ = 62447616.

The previous prime is 222255071. The next prime is 222255073. The reversal of 222255072 is 270552222.

222255072 is a `hidden beast` number, since 22 + 22 + 550 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (222255071) and next prime (222255073).

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222255071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2497204 + ... + 2497292.

It is an arithmetic number, because the mean of its divisors is an integer number (2579850).

Almost surely, 2^222255072 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 222255072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371498400).

222255072 is an abundant number, since it is smaller than the sum of its proper divisors (520741728).

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

222255072 is a wasteful number, since it uses less digits than its factorization.

222255072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 222255072 is about 14908.2216243253. The cubic root of 222255072 is about 605.7367088107.

The spelling of 222255072 in words is "two hundred twenty-two million, two hundred fifty-five thousand, seventy-two".