30255200 has 72 divisors (see below), whose sum is σ = 75229560. Its totient is φ = 11878400.

The previous prime is 30255167. The next prime is 30255229. The reversal of 30255200 is 255203.

It is a congruent number.

It is an unprimeable number.

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, 46880 + ... + 47520.

It is an arithmetic number, because the mean of its divisors is an integer number (1044855).

Almost surely, 2^30255200 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 30255200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37614780).

30255200 is an abundant number, since it is smaller than the sum of its proper divisors (44974360).

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

30255200 is a wasteful number, since it uses less digits than its factorization.

30255200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 17.

The square root of 30255200 is about 5500.4727069589. The cubic root of 30255200 is about 311.6018370437.

The spelling of 30255200 in words is "thirty million, two hundred fifty-five thousand, two hundred".