2113200 has 90 divisors (see below), whose sum is σ = 7345884. Its totient is φ = 562560.

The previous prime is 2113187. The next prime is 2113207. The reversal of 2113200 is 23112.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×2113200² = 8931228480000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2113207) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3307 + ... + 3893.

2^2113200 is an apocalyptic number.

2113200 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 2113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3672942).

2113200 is an abundant number, since it is smaller than the sum of its proper divisors (5232684).

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

2113200 is a wasteful number, since it uses less digits than its factorization.

2113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 597 counting only the distinct ones).

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

The square root of 2113200 is about 1453.6849727503. The cubic root of 2113200 is about 128.3256681016.

Adding to 2113200 its reverse (23112), we get a palindrome (2136312).

The spelling of 2113200 in words is "two million, one hundred thirteen thousand, two hundred".