221942688 has 48 divisors (see below), whose sum is σ = 635566176. Its totient is φ = 67255040.

The previous prime is 221942683. The next prime is 221942729. The reversal of 221942688 is 886249122.

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

It is not an unprimeable number, because it can be changed into a prime (221942681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104031 + ... + 106142.

It is an arithmetic number, because the mean of its divisors is an integer number (13240962).

Almost surely, 2^221942688 is an apocalyptic number.

It is an amenable number.

221942688 is an abundant number, since it is smaller than the sum of its proper divisors (413623488).

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

221942688 is a wasteful number, since it uses less digits than its factorization.

221942688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210197 (or 210189 counting only the distinct ones).

The product of its digits is 110592, while the sum is 42.

The square root of 221942688 is about 14897.7410368149. The cubic root of 221942688 is about 605.4527840156.

The spelling of 221942688 in words is "two hundred twenty-one million, nine hundred forty-two thousand, six hundred eighty-eight".