220144452 has 96 divisors (see below), whose sum is σ = 585446400. Its totient is φ = 63772800.

The previous prime is 220144433. The next prime is 220144493. The reversal of 220144452 is 254441022.

It is a happy number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 501249 + ... + 501687.

It is an arithmetic number, because the mean of its divisors is an integer number (6098400).

Almost surely, 2^220144452 is an apocalyptic number.

220144452 is a gapful number since it is divisible by the number (22) 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 220144452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292723200).

220144452 is an abundant number, since it is smaller than the sum of its proper divisors (365301948).

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

220144452 is a wasteful number, since it uses less digits than its factorization.

220144452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 220144452 is about 14837.2656510558. The cubic root of 220144452 is about 603.8131704367.

Adding to 220144452 its reverse (254441022), we get a palindrome (474585474).

The spelling of 220144452 in words is "two hundred twenty million, one hundred forty-four thousand, four hundred fifty-two".