248007228 has 144 divisors (see below), whose sum is σ = 720115200. Its totient is φ = 66044160.

The previous prime is 248007181. The next prime is 248007233. The reversal of 248007228 is 822700842.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 882448 + ... + 882728.

It is an arithmetic number, because the mean of its divisors is an integer number (5000800).

Almost surely, 2^248007228 is an apocalyptic number.

248007228 is a gapful number since it is divisible by the number (28) 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 248007228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360057600).

248007228 is an abundant number, since it is smaller than the sum of its proper divisors (472107972).

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

248007228 is a wasteful number, since it uses less digits than its factorization.

248007228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 248007228 is about 15748.2452355810. The cubic root of 248007228 is about 628.2822341554.

The spelling of 248007228 in words is "two hundred forty-eight million, seven thousand, two hundred twenty-eight".