221648976 has 60 divisors (see below), whose sum is σ = 647288928. Its totient is φ = 70669632.

The previous prime is 221648963. The next prime is 221649013. The reversal of 221648976 is 679846122.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 11 ways as a sum of consecutive naturals, for example, 30150 + ... + 36773.

Almost surely, 2^221648976 is an apocalyptic number.

It is an amenable number.

221648976 is an abundant number, since it is smaller than the sum of its proper divisors (425639952).

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

221648976 is a wasteful number, since it uses less digits than its factorization.

221648976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66960 (or 66951 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 221648976 is about 14887.8801714683. The cubic root of 221648976 is about 605.1855870322.

It can be divided in two parts, 2216489 and 76, that added together give a triangular number (2216565 = T₂₁₀₅).

The spelling of 221648976 in words is "two hundred twenty-one million, six hundred forty-eight thousand, nine hundred seventy-six".