2248258100 has 72 divisors (see below), whose sum is σ = 5329721376. Its totient is φ = 816400000.

The previous prime is 2248258099. The next prime is 2248258127. The reversal of 2248258100 is 18528422.

2248258100 is nontrivially palindromic in base 9.

It is a super-2 number, since 2×2248258100² = 10109328968431220000, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 1430315 + ... + 1431885.

It is an arithmetic number, because the mean of its divisors is an integer number (74023908).

Almost surely, 2^2248258100 is an apocalyptic number.

2248258100 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 2248258100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2664860688).

2248258100 is an abundant number, since it is smaller than the sum of its proper divisors (3081463276).

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

2248258100 is a wasteful number, since it uses less digits than its factorization.

2248258100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2897 (or 2890 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 32.

The square root of 2248258100 is about 47415.8001092463. The cubic root of 2248258100 is about 1310.0324565119.

The spelling of 2248258100 in words is "two billion, two hundred forty-eight million, two hundred fifty-eight thousand, one hundred".