220321000 has 64 divisors (see below), whose sum is σ = 525404880. Its totient is φ = 86444800.

The previous prime is 220320943. The next prime is 220321009. The reversal of 220321000 is 123022.

It can be written as a sum of positive squares in 8 ways, for example, as 15888196 + 204432804 = 3986^2 + 14298^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220321009) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 50922 + ... + 55078.

Almost surely, 2^220321000 is an apocalyptic number.

220321000 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 220321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262702440).

220321000 is an abundant number, since it is smaller than the sum of its proper divisors (305083880).

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

220321000 is a wasteful number, since it uses less digits than its factorization.

220321000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4231 (or 4217 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 220321000 is about 14843.2139376888. The cubic root of 220321000 is about 603.9745395171.

Adding to 220321000 its reverse (123022), we get a palindrome (220444022).

It can be divided in two parts, 22032 and 1000, that added together give a palindrome (23032).

The spelling of 220321000 in words is "two hundred twenty million, three hundred twenty-one thousand".