220444000 has 96 divisors (see below), whose sum is σ = 619085376. Its totient is φ = 75571200.

The previous prime is 220443991. The next prime is 220444009. The reversal of 220444000 is 444022.

220444000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (220443991) and next prime (220444009).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220444009) 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, 24064 + ... + 31936.

It is an arithmetic number, because the mean of its divisors is an integer number (6448806).

Almost surely, 2^220444000 is an apocalyptic number.

220444000 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 220444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309542688).

220444000 is an abundant number, since it is smaller than the sum of its proper divisors (398641376).

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

220444000 is an equidigital number, since it uses as much as digits as its factorization.

220444000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7905 (or 7887 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 220444000 is about 14847.3566670973. The cubic root of 220444000 is about 604.0869135049.

Adding to 220444000 its reverse (444022), we get a palindrome (220888022).

The spelling of 220444000 in words is "two hundred twenty million, four hundred forty-four thousand".