221422320 has 120 divisors (see below), whose sum is σ = 849859296. Its totient is φ = 50609664.

The previous prime is 221422309. The next prime is 221422349. The reversal of 221422320 is 23224122.

221422320 is a `hidden beast` number, since 221 + 422 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 221422293 and 221422302.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 16927 + ... + 27006.

Almost surely, 2^221422320 is an apocalyptic number.

221422320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221422320 is an abundant number, since it is smaller than the sum of its proper divisors (628436976).

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

221422320 is a wasteful number, since it uses less digits than its factorization.

221422320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43959 (or 43950 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 221422320 is about 14880.2661266524. The cubic root of 221422320 is about 604.9792311246.

Adding to 221422320 its reverse (23224122), we get a palindrome (244646442).

The spelling of 221422320 in words is "two hundred twenty-one million, four hundred twenty-two thousand, three hundred twenty".