248217312 has 192 divisors, whose sum is σ = 781401600. Its totient is φ = 67516416.

The previous prime is 248217287. The next prime is 248217317. The reversal of 248217312 is 213712842.

It is a super-2 number, since 2×248217312² = 123223667953010688, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 248217312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248217317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1665814 + ... + 1665962.

It is an arithmetic number, because the mean of its divisors is an integer number (4069800).

Almost surely, 2^248217312 is an apocalyptic number.

248217312 is the 12864-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248217312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390700800).

248217312 is an abundant number, since it is smaller than the sum of its proper divisors (533184288).

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

248217312 is a wasteful number, since it uses less digits than its factorization.

248217312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 265 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

The square root of 248217312 is about 15754.9139001138. The cubic root of 248217312 is about 628.4595875788.

The spelling of 248217312 in words is "two hundred forty-eight million, two hundred seventeen thousand, three hundred twelve".