221319168 has 208 divisors, whose sum is σ = 704557056. Its totient is φ = 60456960.

The previous prime is 221319143. The next prime is 221319173. The reversal of 221319168 is 861913122.

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2666455 + ... + 2666537.

Almost surely, 2^221319168 is an apocalyptic number.

221319168 is a gapful number since it is divisible by the number (28) 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 221319168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352278528).

221319168 is an abundant number, since it is smaller than the sum of its proper divisors (483237888).

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

221319168 is an equidigital number, since it uses as much as digits as its factorization.

221319168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 126 counting only the distinct ones).

The product of its digits is 5184, while the sum is 33.

The square root of 221319168 is about 14876.7996558400. The cubic root of 221319168 is about 604.8852711438.

The spelling of 221319168 in words is "two hundred twenty-one million, three hundred nineteen thousand, one hundred sixty-eight".