2248200 has 72 divisors (see below), whose sum is σ = 7556250. Its totient is φ = 599040.

The previous prime is 2248187. The next prime is 2248223. The reversal of 2248200 is 28422.

It can be written as a sum of positive squares in 3 ways, for example, as 1572516 + 675684 = 1254^2 + 822^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable 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 17 ways as a sum of consecutive naturals, for example, 1176 + ... + 2424.

2^2248200 is an apocalyptic number.

2248200 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 2248200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3778125).

2248200 is an abundant number, since it is smaller than the sum of its proper divisors (5308050).

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

2248200 is a wasteful number, since it uses less digits than its factorization.

2248200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1271 (or 1259 counting only the distinct ones).

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

The square root of 2248200 is about 1499.3998799520. The cubic root of 2248200 is about 131.0021171695.

The spelling of 2248200 in words is "two million, two hundred forty-eight thousand, two hundred".