2230800 has 180 divisors, whose sum is σ = 8441424. Its totient is φ = 499200.

The previous prime is 2230783. The next prime is 2230801. The reversal of 2230800 is 80322.

It is a super-3 number, since 3×2230800³ = 33304518726336000000, which contains 333 as substring.

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 2230800.

It is not an unprimeable number, because it can be changed into a prime (2230801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 171594 + ... + 171606.

2^2230800 is an apocalyptic number.

2230800 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 2230800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4220712).

2230800 is an abundant number, since it is smaller than the sum of its proper divisors (6210624).

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

2230800 is a wasteful number, since it uses less digits than its factorization.

2230800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 34 counting only the distinct ones).

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

The square root of 2230800 is about 1493.5862880999. The cubic root of 2230800 is about 130.6632767874.

The spelling of 2230800 in words is "two million, two hundred thirty thousand, eight hundred".