221920432 has 40 divisors (see below), whose sum is σ = 439391520. Its totient is φ = 108556800.

The previous prime is 221920411. The next prime is 221920459. The reversal of 221920432 is 234029122.

221920432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 221920397 and 221920406.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 143053 + ... + 144595.

It is an arithmetic number, because the mean of its divisors is an integer number (10984788).

Almost surely, 2^221920432 is an apocalyptic number.

It is an amenable number.

221920432 is a deficient number, since it is larger than the sum of its proper divisors (217471088).

221920432 is a wasteful number, since it uses less digits than its factorization.

221920432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1741 (or 1735 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 221920432 is about 14896.9940592054. The cubic root of 221920432 is about 605.4325454460.

Adding to 221920432 its reverse (234029122), we get a palindrome (455949554).

The spelling of 221920432 in words is "two hundred twenty-one million, nine hundred twenty thousand, four hundred thirty-two".