220518144 has 324 divisors, whose sum is σ = 805769328. Its totient is φ = 56770560.

The previous prime is 220518073. The next prime is 220518149. The reversal of 220518144 is 441815022.

220518144 is a `hidden beast` number, since 2 + 2 + 0 + 518 + 144 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220518149) 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 35 ways as a sum of consecutive naturals, for example, 1951432 + ... + 1951544.

Almost surely, 2^220518144 is an apocalyptic number.

220518144 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 220518144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402884664).

220518144 is an abundant number, since it is smaller than the sum of its proper divisors (585251184).

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

220518144 is a wasteful number, since it uses less digits than its factorization.

220518144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 220518144 is about 14849.8533326090. The cubic root of 220518144 is about 604.1546319875.

It can be divided in two parts, 2205181 and 44, that added together give a square (2205225 = 1485²).

The spelling of 220518144 in words is "two hundred twenty million, five hundred eighteen thousand, one hundred forty-four".