220100144 has 80 divisors (see below), whose sum is σ = 481873920. Its totient is φ = 96526080.

The previous prime is 220100141. The next prime is 220100171. The reversal of 220100144 is 441001022.

220100144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (220100141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 961022 + ... + 961250.

It is an arithmetic number, because the mean of its divisors is an integer number (6023424).

Almost surely, 2^220100144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220100144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240936960).

220100144 is an abundant number, since it is smaller than the sum of its proper divisors (261773776).

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

220100144 is a wasteful number, since it uses less digits than its factorization.

220100144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 220100144 is about 14835.7724436579. The cubic root of 220100144 is about 603.7726583263.

Adding to 220100144 its reverse (441001022), we get a palindrome (661101166).

The spelling of 220100144 in words is "two hundred twenty million, one hundred thousand, one hundred forty-four".