2248182225 has 81 divisors (see below), whose sum is σ = 4208996883. Its totient is φ = 1147063680.

The previous prime is 2248182169. The next prime is 2248182263. The reversal of 2248182225 is 5222818422.

It is a happy number.

The square root of 2248182225 is 47415.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 933974721 + 1314207504 = 30561^2 + 36252^2 .

It is not a de Polignac number, because 2248182225 - 2¹¹ = 2248180177 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2248182225.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 20625471 + ... + 20625579.

Almost surely, 2^2248182225 is an apocalyptic number.

2248182225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2248182225 is the 47415-th square number.

2248182225 is the 23708-th centered octagonal number.

It is an amenable number.

2248182225 is a deficient number, since it is larger than the sum of its proper divisors (1960814658).

2248182225 is a wasteful number, since it uses less digits than its factorization.

2248182225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 146 counting only the distinct ones).

The product of its digits is 40960, while the sum is 36.

The cubic root of 2248182225 is about 1310.0177192017.

Multiplying 2248182225 by its sum of digits (36), we get a square (80934560100 = 284490²).

The spelling of 2248182225 in words is "two billion, two hundred forty-eight million, one hundred eighty-two thousand, two hundred twenty-five".