2248000 has 56 divisors (see below), whose sum is σ = 5586984. Its totient is φ = 896000.

The previous prime is 2247991. The next prime is 2248013. The reversal of 2248000 is 8422.

It can be written as a sum of positive squares in 4 ways, for example, as 33856 + 2214144 = 184^2 + 1488^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 7860 + ... + 8140.

2^2248000 is an apocalyptic number.

2248000 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 2248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2793492).

2248000 is an abundant number, since it is smaller than the sum of its proper divisors (3338984).

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

2248000 is an equidigital number, since it uses as much as digits as its factorization.

2248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 2248000 is about 1499.3331851193. Note that the first 3 decimals coincide. The cubic root of 2248000 is about 130.9982324024.

The spelling of 2248000 in words is "two million, two hundred forty-eight thousand".