30218800 has 60 divisors (see below), whose sum is σ = 74973376. Its totient is φ = 11692800.

The previous prime is 30218779. The next prime is 30218813. The reversal of 30218800 is 881203.

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, 11182 + ... + 13618.

Almost surely, 2^30218800 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 30218800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37486688).

30218800 is an abundant number, since it is smaller than the sum of its proper divisors (44754576).

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

30218800 is a wasteful number, since it uses less digits than its factorization.

30218800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2486 (or 2475 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 30218800 is about 5497.1629046263. The cubic root of 30218800 is about 311.4768242795.

The spelling of 30218800 in words is "thirty million, two hundred eighteen thousand, eight hundred".