2248100 has 18 divisors (see below), whose sum is σ = 4878594. Its totient is φ = 899200.

The previous prime is 2248087. The next prime is 2248117. The reversal of 2248100 is 18422.

It can be written as a sum of positive squares in 3 ways, for example, as 4096 + 2244004 = 64^2 + 1498^2 .

It is a super-2 number, since 2×2248100² = 10107907220000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11141 + ... + 11340.

It is an arithmetic number, because the mean of its divisors is an integer number (271033).

2^2248100 is an apocalyptic number.

2248100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2248100 is an abundant number, since it is smaller than the sum of its proper divisors (2630494).

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

2248100 is a wasteful number, since it uses less digits than its factorization.

2248100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22495 (or 22488 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 2248100 is about 1499.3665329065. The cubic root of 2248100 is about 131.0001748148. Note that the first 3 decimals are identical.

The spelling of 2248100 in words is "two million, two hundred forty-eight thousand, one hundred".