221152016 has 20 divisors (see below), whose sum is σ = 442305024. Its totient is φ = 107008800.

The previous prime is 221152013. The next prime is 221152027. The reversal of 221152016 is 610251122.

221152016 is an admirable number.

It is not an unprimeable number, because it can be changed into a prime (221152013) by changing a digit.

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, 222440 + ... + 223431.

Almost surely, 2^221152016 is an apocalyptic number.

It is an amenable number.

221152016 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

221152016 is a wasteful number, since it uses less digits than its factorization.

221152016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445910 (or 445904 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 221152016 is about 14871.1807197680. The cubic root of 221152016 is about 604.7329522877.

It can be divided in two parts, 22 and 1152016, that multiplied together give a palindrome (25344352).

The spelling of 221152016 in words is "two hundred twenty-one million, one hundred fifty-two thousand, sixteen".