222176160 has 144 divisors (see below), whose sum is σ = 762279336. Its totient is φ = 58927104.

The previous prime is 222176099. The next prime is 222176161. The reversal of 222176160 is 61671222.

222176160 is a `hidden beast` number, since 22 + 21 + 7 + 616 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 89189136 + 132987024 = 9444^2 + 11532^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (222176161) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 398602 + ... + 399158.

Almost surely, 2^222176160 is an apocalyptic number.

222176160 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 222176160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381139668).

222176160 is an abundant number, since it is smaller than the sum of its proper divisors (540103176).

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

222176160 is a wasteful number, since it uses less digits than its factorization.

222176160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 222176160 is about 14905.5747960285. The cubic root of 222176160 is about 605.6650110792.

The spelling of 222176160 in words is "two hundred twenty-two million, one hundred seventy-six thousand, one hundred sixty".