2832200 has 108 divisors (see below), whose sum is σ = 8137035. Its totient is φ = 913920.

The previous prime is 2832187. The next prime is 2832211. The reversal of 2832200 is 22382.

2832200 = 216² + 217² + ... + 264².

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

2832200 is digitally balanced in base 2, 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 5 ways, for example, as 1844164 + 988036 = 1358^2 + 994^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=1190.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 166592 + ... + 166608.

2^2832200 is an apocalyptic number.

2832200 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 2832200

2832200 is an abundant number, since it is smaller than the sum of its proper divisors (5304835).

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

2832200 is a wasteful number, since it uses less digits than its factorization.

2832200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 2832200 is about 1682.9141392240. The cubic root of 2832200 is about 141.4842095529.

Adding to 2832200 its reverse (22382), we get a palindrome (2854582).

It can be divided in two parts, 2 and 832200, that multiplied together give a triangular number (1664400 = T₁₈₂₄).

The spelling of 2832200 in words is "two million, eight hundred thirty-two thousand, two hundred".