20115200 has 108 divisors (see below), whose sum is σ = 57027600. Its totient is φ = 6881280.

The previous prime is 20115197. The next prime is 20115211. The reversal of 20115200 is 251102.

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 11 ways as a sum of consecutive naturals, for example, 44576 + ... + 45024.

Almost surely, 2^20115200 is an apocalyptic number.

20115200 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 20115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28513800).

20115200 is an abundant number, since it is smaller than the sum of its proper divisors (36912400).

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

20115200 is an equidigital number, since it uses as much as digits as its factorization.

20115200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 20115200 is about 4484.9972129311. The cubic root of 20115200 is about 271.9619323888.

Adding to 20115200 its reverse (251102), we get a palindrome (20366302).

The spelling of 20115200 in words is "twenty million, one hundred fifteen thousand, two hundred".