248722100 has 72 divisors (see below), whose sum is σ = 592649568. Its totient is φ = 89852800.

The previous prime is 248722093. The next prime is 248722109. The reversal of 248722100 is 1227842.

It is a self number, because there is not a number n which added to its sum of digits gives 248722100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248722109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 189647 + ... + 190953.

It is an arithmetic number, because the mean of its divisors is an integer number (8231244).

Almost surely, 2^248722100 is an apocalyptic number.

248722100 is a gapful number since it is divisible by the number (20) 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 248722100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296324784).

248722100 is an abundant number, since it is smaller than the sum of its proper divisors (343927468).

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

248722100 is a wasteful number, since it uses less digits than its factorization.

248722100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1505 (or 1498 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 26.

The square root of 248722100 is about 15770.9257813230. The cubic root of 248722100 is about 628.8853221191.

Adding to 248722100 its reverse (1227842), we get a palindrome (249949942).

The spelling of 248722100 in words is "two hundred forty-eight million, seven hundred twenty-two thousand, one hundred".