221225320 has 32 divisors (see below), whose sum is σ = 498287520. Its totient is φ = 88395840.

The previous prime is 221225317. The next prime is 221225351. The reversal of 221225320 is 23522122.

221225320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 44479 + ... + 49201.

It is an arithmetic number, because the mean of its divisors is an integer number (15571485).

Almost surely, 2^221225320 is an apocalyptic number.

221225320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221225320 is an abundant number, since it is smaller than the sum of its proper divisors (277062200).

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

221225320 is a wasteful number, since it uses less digits than its factorization.

221225320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5905 (or 5901 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 221225320 is about 14873.6451483824. The cubic root of 221225320 is about 604.7997607032.

Adding to 221225320 its reverse (23522122), we get a palindrome (244747442).

The spelling of 221225320 in words is "two hundred twenty-one million, two hundred twenty-five thousand, three hundred twenty".