30200 has 24 divisors (see below), whose sum is σ = 70680. Its totient is φ = 12000.

The previous prime is 30197. The next prime is 30203. The reversal of 30200 is 203.

30200 = 22² + 23² + ... + 46².

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (30197) and next prime (30203).

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a plaindrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 125 + ... + 275.

It is an arithmetic number, because the mean of its divisors is an integer number (2945).

2³⁰²⁰⁰ 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 30200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35340).

30200 is an abundant number, since it is smaller than the sum of its proper divisors (40480).

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

30200 is a wasteful number, since it uses less digits than its factorization.

30200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 5.

The square root of 30200 is about 173.7814719698. The cubic root of 30200 is about 31.1412217930.

Adding to 30200 its reverse (203), we get a palindrome (30403).

The spelling of 30200 in words is "thirty thousand, two hundred".