248223744 has 144 divisors (see below), whose sum is σ = 746436600. Its totient is φ = 81506304.

The previous prime is 248223737. The next prime is 248223757. The reversal of 248223744 is 447322842.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 248223699 and 248223708.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3704799 + ... + 3704865.

Almost surely, 2^248223744 is an apocalyptic number.

248223744 is a gapful number since it is divisible by the number (24) 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 248223744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373218300).

248223744 is an abundant number, since it is smaller than the sum of its proper divisors (498212856).

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

248223744 is an frugal number, since it uses more digits than its factorization.

248223744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 72 counting only the distinct ones).

The product of its digits is 86016, while the sum is 36.

The square root of 248223744 is about 15755.1180255814. The cubic root of 248223744 is about 628.4650159098.

The spelling of 248223744 in words is "two hundred forty-eight million, two hundred twenty-three thousand, seven hundred forty-four".