30235200 has 84 divisors (see below), whose sum is σ = 99212400. Its totient is φ = 8061440.

The previous prime is 30235181. The next prime is 30235201. The reversal of 30235200 is 253203.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 30235200.

It is not an unprimeable number, because it can be changed into a prime (30235201) 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 11 ways as a sum of consecutive naturals, for example, 1651 + ... + 7949.

It is an arithmetic number, because the mean of its divisors is an integer number (1181100).

Almost surely, 2^30235200 is an apocalyptic number.

30235200 is a gapful number since it is divisible by the number (30) 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 30235200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49606200).

30235200 is an abundant number, since it is smaller than the sum of its proper divisors (68977200).

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

30235200 is a wasteful number, since it uses less digits than its factorization.

30235200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6324 (or 6309 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 15.

The square root of 30235200 is about 5498.6543808463. The cubic root of 30235200 is about 311.5331611306.

Adding to 30235200 its reverse (253203), we get a palindrome (30488403).

The spelling of 30235200 in words is "thirty million, two hundred thirty-five thousand, two hundred".