248812200 has 576 divisors, whose sum is σ = 1083264000. Its totient is φ = 50803200.

The previous prime is 248812189. The next prime is 248812247. The reversal of 248812200 is 2218842.

248812200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8026185 + ... + 8026215.

Almost surely, 2^248812200 is an apocalyptic number.

248812200 is a gapful number since it is divisible by the number (20) 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 248812200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541632000).

248812200 is an abundant number, since it is smaller than the sum of its proper divisors (834451800).

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

248812200 is a wasteful number, since it uses less digits than its factorization.

248812200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 248812200 is about 15773.7820448997. The cubic root of 248812200 is about 628.9612512074.

The spelling of 248812200 in words is "two hundred forty-eight million, eight hundred twelve thousand, two hundred".