2284200 has 144 divisors (see below), whose sum is σ = 8124480. Its totient is φ = 596160.

The previous prime is 2284181. The next prime is 2284207. The reversal of 2284200 is 24822.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2284207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 48577 + ... + 48623.

It is an arithmetic number, because the mean of its divisors is an integer number (56420).

2^2284200 is an apocalyptic number.

2284200 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 2284200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4062240).

2284200 is an abundant number, since it is smaller than the sum of its proper divisors (5840280).

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

2284200 is a wasteful number, since it uses less digits than its factorization.

2284200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2284200 is about 1511.3570061372. The cubic root of 2284200 is about 131.6976551178.

The spelling of 2284200 in words is "two million, two hundred eighty-four thousand, two hundred".