248105214 has 96 divisors (see below), whose sum is σ = 652043520. Its totient is φ = 68500080.

The previous prime is 248105203. The next prime is 248105233. The reversal of 248105214 is 412501842.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 362917 + ... + 363599.

It is an arithmetic number, because the mean of its divisors is an integer number (6792120).

Almost surely, 2^248105214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248105214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326021760).

248105214 is an abundant number, since it is smaller than the sum of its proper divisors (403938306).

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

248105214 is a wasteful number, since it uses less digits than its factorization.

248105214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 248105214 is about 15751.3559416325. The cubic root of 248105214 is about 628.3649666327.

The spelling of 248105214 in words is "two hundred forty-eight million, one hundred five thousand, two hundred fourteen".