220320000 has 450 divisors, whose sum is σ = 869220198. Its totient is φ = 55296000.

The previous prime is 220319971. The next prime is 220320043. The reversal of 220320000 is 23022.

It can be written as a sum of positive squares in 5 ways, for example, as 56070144 + 164249856 = 7488^2 + 12816^2 .

It is a tau number, because it is divible by the number of its divisors (450).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 12959992 + ... + 12960008.

Almost surely, 2^220320000 is an apocalyptic number.

220320000 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 220320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434610099).

220320000 is an abundant number, since it is smaller than the sum of its proper divisors (648900198).

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

220320000 is an frugal number, since it uses more digits than its factorization.

220320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 220320000 is about 14843.1802522236. The cubic root of 220320000 is about 603.9736257361.

Adding to 220320000 its reverse (23022), we get a palindrome (220343022).

The spelling of 220320000 in words is "two hundred twenty million, three hundred twenty thousand".