2231200 has 36 divisors (see below), whose sum is σ = 5448870. Its totient is φ = 892160.

The previous prime is 2231171. The next prime is 2231209. The reversal of 2231200 is 21322.

It can be written as a sum of positive squares in 3 ways, for example, as 1774224 + 456976 = 1332^2 + 676^2 .

It is a super-3 number, since 3×2231200³ = 33322437225984000000, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (2231209) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 595 + ... + 2194.

2^2231200 is an apocalyptic number.

2231200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2231200 is an abundant number, since it is smaller than the sum of its proper divisors (3217670).

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

2231200 is a wasteful number, since it uses less digits than its factorization.

2231200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2809 (or 2796 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 2231200 is about 1493.7201879870. The cubic root of 2231200 is about 130.6710859721.

Adding to 2231200 its reverse (21322), we get a palindrome (2252522).

It can be divided in two parts, 2 and 231200, that multiplied together give a square (462400 = 680²).

The spelling of 2231200 in words is "two million, two hundred thirty-one thousand, two hundred".