248122224 has 80 divisors (see below), whose sum is σ = 813955840. Its totient is φ = 70891200.

The previous prime is 248122223. The next prime is 248122241. The reversal of 248122224 is 422221842.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248122223) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 38002 + ... + 44049.

It is an arithmetic number, because the mean of its divisors is an integer number (10174448).

Almost surely, 2^248122224 is an apocalyptic number.

248122224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

248122224 is an abundant number, since it is smaller than the sum of its proper divisors (565833616).

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

248122224 is a wasteful number, since it uses less digits than its factorization.

248122224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82075 (or 82063 counting only the distinct ones).

The product of its digits is 4096, while the sum is 27.

The square root of 248122224 is about 15751.8958858926. The cubic root of 248122224 is about 628.3793264596.

The spelling of 248122224 in words is "two hundred forty-eight million, one hundred twenty-two thousand, two hundred twenty-four".