30032200 has 144 divisors (see below), whose sum is σ = 82377540. Its totient is φ = 10137600.

The previous prime is 30032173. The next prime is 30032203. The reversal of 30032200 is 223003.

It can be written as a sum of positive squares in 6 ways, for example, as 16208676 + 13823524 = 4026^2 + 3718^2 .

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 (30032203) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 411364 + ... + 411436.

Almost surely, 2^30032200 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 30032200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41188770).

30032200 is an abundant number, since it is smaller than the sum of its proper divisors (52345340).

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

30032200 is a wasteful number, since it uses less digits than its factorization.

30032200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 10.

The square root of 30032200 is about 5480.1642311157. The cubic root of 30032200 is about 310.8343807191.

Adding to 30032200 its reverse (223003), we get a palindrome (30255203).

The spelling of 30032200 in words is "thirty million, thirty-two thousand, two hundred".