221768932 has 48 divisors (see below), whose sum is σ = 488718720. Its totient is φ = 85536000.

The previous prime is 221768929. The next prime is 221768933. The reversal of 221768932 is 239867122.

It is not an unprimeable number, because it can be changed into a prime (221768933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27544 + ... + 34672.

It is an arithmetic number, because the mean of its divisors is an integer number (10181640).

Almost surely, 2^221768932 is an apocalyptic number.

221768932 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221768932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244359360).

221768932 is an abundant number, since it is smaller than the sum of its proper divisors (266949788).

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

221768932 is a wasteful number, since it uses less digits than its factorization.

221768932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7252 (or 7250 counting only the distinct ones).

The product of its digits is 72576, while the sum is 40.

The square root of 221768932 is about 14891.9082726157. The cubic root of 221768932 is about 605.2947424354.

The spelling of 221768932 in words is "two hundred twenty-one million, seven hundred sixty-eight thousand, nine hundred thirty-two".