220014144 has 336 divisors, whose sum is σ = 781068288. Its totient is φ = 60092928.

The previous prime is 220014143. The next prime is 220014181. The reversal of 220014144 is 441410022.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is not an unprimeable number, because it can be changed into a prime (220014143) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 4681129 + ... + 4681175.

It is an arithmetic number, because the mean of its divisors is an integer number (2324608).

Almost surely, 2^220014144 is an apocalyptic number.

220014144 is a gapful number since it is divisible by the number (24) 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 220014144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390534144).

220014144 is an abundant number, since it is smaller than the sum of its proper divisors (561054144).

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

220014144 is an equidigital number, since it uses as much as digits as its factorization.

220014144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 220014144 is about 14832.8737606709. The cubic root of 220014144 is about 603.6940104709.

Adding to 220014144 its reverse (441410022), we get a palindrome (661424166).

The spelling of 220014144 in words is "two hundred twenty million, fourteen thousand, one hundred forty-four".