20113200 has 180 divisors, whose sum is σ = 72159568. Its totient is φ = 5184000.

The previous prime is 20113189. The next prime is 20113213. The reversal of 20113200 is 231102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 133125 + ... + 133275.

Almost surely, 2^20113200 is an apocalyptic number.

20113200 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 20113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36079784).

20113200 is an abundant number, since it is smaller than the sum of its proper divisors (52046368).

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

20113200 is a wasteful number, since it uses less digits than its factorization.

20113200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 20113200 is about 4484.7742418097. The cubic root of 20113200 is about 271.9529186099.

Adding to 20113200 its reverse (231102), we get a palindrome (20344302).

The spelling of 20113200 in words is "twenty million, one hundred thirteen thousand, two hundred".