220052144 has 40 divisors (see below), whose sum is σ = 464345280. Its totient is φ = 100412928.

The previous prime is 220052141. The next prime is 220052153. The reversal of 220052144 is 441250022.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (220052141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12569 + ... + 24455.

It is an arithmetic number, because the mean of its divisors is an integer number (11608632).

Almost surely, 2^220052144 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 220052144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232172640).

220052144 is an abundant number, since it is smaller than the sum of its proper divisors (244293136).

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

220052144 is a wasteful number, since it uses less digits than its factorization.

220052144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11997 (or 11991 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 220052144 is about 14834.1546439290. The cubic root of 220052144 is about 603.7287643756.

The spelling of 220052144 in words is "two hundred twenty million, fifty-two thousand, one hundred forty-four".