2300 has 18 divisors (see below), whose sum is σ = 5208. Its totient is φ = 880.

The previous prime is 2297. The next prime is 2309. The reversal of 2300 is 32.

Adding to 2300 its reverse (32), we get a palindrome (2332).

2300 = T_{1} + T_{2} + ... +
T_{23}.

It is a happy number.

2300 is a nontrivial binomial coefficient, being equal to C(25, 3).

It is a Harshad number since it is a multiple of its sum of digits (5).

2300 is an undulating number in base 7.

It is a nialpdrome in base 5 and base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2309) by changing a digit.

It is the 23-rd tetrahedral number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 89 + ... + 111.

2^{2300} is an apocalyptic number.

2300 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 2300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2604).

2300 is an abundant number, since it is smaller than the sum of its proper divisors (2908).

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

2300 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (2299) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (30).

2300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 5.

The square root of 2300 is about 47.9583152331. The cubic root of 2300 is about 13.2000612180.

The spelling of 2300 in words is "two thousand, three hundred", and thus it is an iban number.

• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.120 sec. • engine limits •