30305200 has 60 divisors (see below), whose sum is σ = 73343520. Its totient is φ = 12033280.

The previous prime is 30305179. The next prime is 30305201. The reversal of 30305200 is 250303.

It is not an unprimeable number, because it can be changed into a prime (30305201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 95442 + ... + 95758.

It is an arithmetic number, because the mean of its divisors is an integer number (1222392).

Almost surely, 2^30305200 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 30305200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36671760).

30305200 is an abundant number, since it is smaller than the sum of its proper divisors (43038320).

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

30305200 is a wasteful number, since it uses less digits than its factorization.

30305200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 13.

The square root of 30305200 is about 5505.0158946183. The cubic root of 30305200 is about 311.7733945184.

Adding to 30305200 its reverse (250303), we get a palindrome (30555503).

The spelling of 30305200 in words is "thirty million, three hundred five thousand, two hundred".