20143200 has 288 divisors, whose sum is σ = 82494720. Its totient is φ = 4147200.

The previous prime is 20143171. The next prime is 20143219. The reversal of 20143200 is 234102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 184746 + ... + 184854.

It is an arithmetic number, because the mean of its divisors is an integer number (286440).

Almost surely, 2^20143200 is an apocalyptic number.

20143200 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 20143200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41247360).

20143200 is an abundant number, since it is smaller than the sum of its proper divisors (62351520).

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

20143200 is a wasteful number, since it uses less digits than its factorization.

20143200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 20143200 is about 4488.1176455169. The cubic root of 20143200 is about 272.0880626046.

Adding to 20143200 its reverse (234102), we get a palindrome (20377302).

The spelling of 20143200 in words is "twenty million, one hundred forty-three thousand, two hundred".