2285200 has 60 divisors (see below), whose sum is σ = 5708340. Its totient is φ = 878080.

The previous prime is 2285189. The next prime is 2285219. The reversal of 2285200 is 25822.

It can be written as a sum of positive squares in 6 ways, for example, as 82944 + 2202256 = 288^2 + 1484^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11502 + ... + 11698.

It is an arithmetic number, because the mean of its divisors is an integer number (95139).

2^2285200 is an apocalyptic number.

2285200 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 2285200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2854170).

2285200 is an abundant number, since it is smaller than the sum of its proper divisors (3423140).

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

2285200 is a wasteful number, since it uses less digits than its factorization.

2285200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 2285200 is about 1511.6877984558. The cubic root of 2285200 is about 131.7168709543.

It can be divided in two parts, 2285 and 200, that added together give a triangular number (2485 = T₇₀).

The spelling of 2285200 in words is "two million, two hundred eighty-five thousand, two hundred".