2238528 has 56 divisors (see below), whose sum is σ = 6035040. Its totient is φ = 732160.

The previous prime is 2238527. The next prime is 2238529. The reversal of 2238528 is 8258322.

It is an interprime number because it is at equal distance from previous prime (2238527) and next prime (2238529).

It is a super-2 number, since 2×2238528² = 10022015213568, which contains 22 as substring.

It is a d-powerful number, because it can be written as 2 + 2¹¹ + 3⁶ + 8⁴ + 5⁹ + 2¹⁴ + 8⁶ .

It is a junction number, because it is equal to n+sod(n) for n = 2238495 and 2238504.

It is not an unprimeable number, because it can be changed into a prime (2238527) 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 7 ways as a sum of consecutive naturals, for example, 17023 + ... + 17153.

2^2238528 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 2238528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3017520).

2238528 is an abundant number, since it is smaller than the sum of its proper divisors (3796512).

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

2238528 is a wasteful number, since it uses less digits than its factorization.

2238528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 225 counting only the distinct ones).

The product of its digits is 7680, while the sum is 30.

The square root of 2238528 is about 1496.1711132086. The cubic root of 2238528 is about 130.8139853557.

The spelling of 2238528 in words is "two million, two hundred thirty-eight thousand, five hundred twenty-eight".