2248272 has 60 divisors (see below), whose sum is σ = 6781684. Its totient is φ = 691200.

The previous prime is 2248271. The next prime is 2248291. The reversal of 2248272 is 2728422.

2248272 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 104976 + 2143296 = 324^2 + 1464^2 .

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2248271) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1272 + ... + 2472.

2^2248272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2248272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3390842).

2248272 is an abundant number, since it is smaller than the sum of its proper divisors (4533412).

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

2248272 is a wasteful number, since it uses less digits than its factorization.

2248272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1228 (or 1219 counting only the distinct ones).

The product of its digits is 3584, while the sum is 27.

The square root of 2248272 is about 1499.4238893655. The cubic root of 2248272 is about 131.0035156293.

The spelling of 2248272 in words is "two million, two hundred forty-eight thousand, two hundred seventy-two".