220021320 has 64 divisors (see below), whose sum is σ = 668448000. Its totient is φ = 57927168.

The previous prime is 220021313. The next prime is 220021337. The reversal of 220021320 is 23120022.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 220021296 and 220021305.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2125 + ... + 21084.

It is an arithmetic number, because the mean of its divisors is an integer number (10444500).

Almost surely, 2^220021320 is an apocalyptic number.

220021320 is a gapful number since it is divisible by the number (20) 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 220021320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334224000).

220021320 is an abundant number, since it is smaller than the sum of its proper divisors (448426680).

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

220021320 is a wasteful number, since it uses less digits than its factorization.

220021320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23302 (or 23298 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 220021320 is about 14833.1156538335. The cubic root of 220021320 is about 603.7005737779.

Adding to 220021320 its reverse (23120022), we get a palindrome (243141342).

The spelling of 220021320 in words is "two hundred twenty million, twenty-one thousand, three hundred twenty".