2146200 has 144 divisors (see below), whose sum is σ = 7845480. Its totient is φ = 483840.

The previous prime is 2146181. The next prime is 2146201. The reversal of 2146200 is 26412.

2146200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2146200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2146201) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 29364 + ... + 29436.

2^2146200 is an apocalyptic number.

2146200 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 2146200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3922740).

2146200 is an abundant number, since it is smaller than the sum of its proper divisors (5699280).

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

2146200 is a wasteful number, since it uses less digits than its factorization.

2146200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2146200 is about 1464.9914675519. The cubic root of 2146200 is about 128.9902041717.

It can be divided in two parts, 2146 and 200, that added together give a triangular number (2346 = T₆₈).

The spelling of 2146200 in words is "two million, one hundred forty-six thousand, two hundred".