221866048 has 28 divisors (see below), whose sum is σ = 466165692. Its totient is φ = 104407040.

The previous prime is 221866033. The next prime is 221866061. The reversal of 221866048 is 840668122.

It can be written as a sum of positive squares in 2 ways, for example, as 108826624 + 113039424 = 10432^2 + 10632^2 .

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 221865998 and 221866016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 100873 + ... + 103048.

Almost surely, 2^221866048 is an apocalyptic number.

It is an amenable number.

221866048 is an abundant number, since it is smaller than the sum of its proper divisors (244299644).

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

221866048 is a wasteful number, since it uses less digits than its factorization.

221866048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203950 (or 203940 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The square root of 221866048 is about 14895.1686126744. The cubic root of 221866048 is about 605.3830854763.

The spelling of 221866048 in words is "two hundred twenty-one million, eight hundred sixty-six thousand, forty-eight".