221516932 has 48 divisors (see below), whose sum is σ = 488783232. Its totient is φ = 85489920.

The previous prime is 221516921. The next prime is 221516989. The reversal of 221516932 is 239615122.

221516932 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

221516932 is strictly pandigital in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 221516894 and 221516903.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7503 + ... + 22345.

It is an arithmetic number, because the mean of its divisors is an integer number (10182984).

Almost surely, 2^221516932 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221516932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244391616).

221516932 is an abundant number, since it is smaller than the sum of its proper divisors (267266300).

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

221516932 is a wasteful number, since it uses less digits than its factorization.

221516932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14908 (or 14906 counting only the distinct ones).

The product of its digits is 6480, while the sum is 31.

The square root of 221516932 is about 14883.4448969316. Note that the first 3 decimals coincide. The cubic root of 221516932 is about 605.0653864626.

The spelling of 221516932 in words is "two hundred twenty-one million, five hundred sixteen thousand, nine hundred thirty-two".