2152200 has 96 divisors (see below), whose sum is σ = 7097760. Its totient is φ = 537600.

The previous prime is 2152169. The next prime is 2152201. The reversal of 2152200 is 22512.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (2152201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10095 + ... + 10305.

It is an arithmetic number, because the mean of its divisors is an integer number (73935).

2^2152200 is an apocalyptic number.

2152200 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 2152200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3548880).

2152200 is an abundant number, since it is smaller than the sum of its proper divisors (4945560).

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

2152200 is a wasteful number, since it uses less digits than its factorization.

2152200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 2152200 is about 1467.0378318230. The cubic root of 2152200 is about 129.1102956704.

Adding to 2152200 its reverse (22512), we get a palindrome (2174712).

It can be divided in two parts, 215 and 2200, that added together give a triangular number (2415 = T₆₉).

The spelling of 2152200 in words is "two million, one hundred fifty-two thousand, two hundred".