2228225 has 12 divisors (see below), whose sum is σ = 2909040. Its totient is φ = 1688400.

The previous prime is 2228221. The next prime is 2228243. The reversal of 2228225 is 5228222.

2228225 = 134² + 135² + ... + 208².

It is a happy number.

It is a Cullen number, since it is equal to 17×2¹⁷+1.

It is not a de Polignac number, because 2228225 - 2² = 2228221 is a prime.

It is a d-powerful number, because it can be written as 2⁵ + 2¹¹ + 2¹⁸ + 8³ + 2¹⁹ + 2²⁰ + 5⁸ .

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2228225.

It is not an unprimeable number, because it can be changed into a prime (2228221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1871 + ... + 2820.

It is an arithmetic number, because the mean of its divisors is an integer number (242420).

It is a Proth number, since it is equal to 17 ⋅ 2¹⁷ + 1 and 17 < 2¹⁷.

2^2228225 is an apocalyptic number.

2228225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2228225 is a deficient number, since it is larger than the sum of its proper divisors (680815).

2228225 is a wasteful number, since it uses less digits than its factorization.

2228225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4720 (or 4715 counting only the distinct ones).

The product of its digits is 1280, while the sum is 23.

The square root of 2228225 is about 1492.7240200385. The cubic root of 2228225 is about 130.6129828005.

The spelling of 2228225 in words is "two million, two hundred twenty-eight thousand, two hundred twenty-five".