30205000 has 80 divisors (see below), whose sum is σ = 80974080. Its totient is φ = 10344000.

The previous prime is 30204961. The next prime is 30205001. The reversal of 30205000 is 50203.

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 (30205001) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 34569 + ... + 35431.

It is an arithmetic number, because the mean of its divisors is an integer number (1012176).

Almost surely, 2^30205000 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 30205000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40487040).

30205000 is an abundant number, since it is smaller than the sum of its proper divisors (50769080).

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

30205000 is an equidigital number, since it uses as much as digits as its factorization.

30205000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 10.

The square root of 30205000 is about 5495.9075683639. The cubic root of 30205000 is about 311.4294030863.

Adding to 30205000 its reverse (50203), we get a palindrome (30255203).

The spelling of 30205000 in words is "thirty million, two hundred five thousand".