248220024 has 64 divisors (see below), whose sum is σ = 674987040. Its totient is φ = 75609600.

The previous prime is 248219987. The next prime is 248220029. The reversal of 248220024 is 420022842.

It is a Cunningham number, because it is equal to 15755²-1.

It is a super-2 number, since 2×248220024² = 123226360629121152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 248219976 and 248220003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248220029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27574 + ... + 35450.

Almost surely, 2^248220024 is an apocalyptic number.

248220024 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 248220024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337493520).

248220024 is an abundant number, since it is smaller than the sum of its proper divisors (426767016).

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

248220024 is a wasteful number, since it uses less digits than its factorization.

248220024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8000 (or 7996 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 248220024 is about 15754.9999682640. Note that the first 4 decimals coincide. The cubic root of 248220024 is about 628.4618764014.

Adding to 248220024 its reverse (420022842), we get a palindrome (668242866).

The spelling of 248220024 in words is "two hundred forty-eight million, two hundred twenty thousand, twenty-four".