2232400 has 30 divisors (see below), whose sum is σ = 5364302. Its totient is φ = 892800.

The previous prime is 2232379. The next prime is 2232401. The reversal of 2232400 is 42322.

It can be written as a sum of positive squares in 3 ways, for example, as 53824 + 2178576 = 232^2 + 1476^2 .

It is a super-3 number, since 3×2232400³ = 33376231284672000000, which contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2232401) 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 5 ways as a sum of consecutive naturals, for example, 2391 + ... + 3190.

2^2232400 is an apocalyptic number.

2232400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2232400 is an abundant number, since it is smaller than the sum of its proper divisors (3131902).

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

2232400 is a wasteful number, since it uses less digits than its factorization.

2232400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5599 (or 5588 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 2232400 is about 1494.1218156496. The cubic root of 2232400 is about 130.6945079274.

Adding to 2232400 its reverse (42322), we get a palindrome (2274722).

The spelling of 2232400 in words is "two million, two hundred thirty-two thousand, four hundred".