220143200 has 72 divisors (see below), whose sum is σ = 569072952. Its totient is φ = 82872320.

The previous prime is 220143181. The next prime is 220143233. The reversal of 220143200 is 2341022.

220143200 = T₃₀₅ + T₃₀₆ + ... + T₁₁₀₄.

220143200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5507 + ... + 21693.

It is an arithmetic number, because the mean of its divisors is an integer number (7903791).

Almost surely, 2^220143200 is an apocalyptic number.

220143200 is a gapful number since it is divisible by the number (20) 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 220143200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284536476).

220143200 is an abundant number, since it is smaller than the sum of its proper divisors (348929752).

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

220143200 is a wasteful number, since it uses less digits than its factorization.

220143200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16224 (or 16211 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 220143200 is about 14837.2234599335. The cubic root of 220143200 is about 603.8120257709.

Adding to 220143200 its reverse (2341022), we get a palindrome (222484222).

The spelling of 220143200 in words is "two hundred twenty million, one hundred forty-three thousand, two hundred".