248207232 has 128 divisors (see below), whose sum is σ = 811560960. Its totient is φ = 65452032.

The previous prime is 248207221. The next prime is 248207249. The reversal of 248207232 is 232702842.

248207232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 248207232.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31393 + ... + 38495.

It is an arithmetic number, because the mean of its divisors is an integer number (6340320).

Almost surely, 2^248207232 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 248207232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405780480).

248207232 is an abundant number, since it is smaller than the sum of its proper divisors (563353728).

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

248207232 is a wasteful number, since it uses less digits than its factorization.

248207232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7140 (or 7128 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 248207232 is about 15754.5939966728. The cubic root of 248207232 is about 628.4510803044.

The spelling of 248207232 in words is "two hundred forty-eight million, two hundred seven thousand, two hundred thirty-two".