221220768 has 48 divisors (see below), whose sum is σ = 581950656. Its totient is φ = 73582080.

The previous prime is 221220757. The next prime is 221220773. The reversal of 221220768 is 867022122.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47805 + ... + 52227.

It is an arithmetic number, because the mean of its divisors is an integer number (12123972).

Almost surely, 2^221220768 is an apocalyptic number.

It is an amenable number.

221220768 is an abundant number, since it is smaller than the sum of its proper divisors (360729888).

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

221220768 is a wasteful number, since it uses less digits than its factorization.

221220768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4957 (or 4949 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 221220768 is about 14873.4921252542. The cubic root of 221220768 is about 604.7956124930.

The spelling of 221220768 in words is "two hundred twenty-one million, two hundred twenty thousand, seven hundred sixty-eight".