2205328 has 20 divisors (see below), whose sum is σ = 4295980. Its totient is φ = 1096704.

The previous prime is 2205323. The next prime is 2205353. The reversal of 2205328 is 8235022.

It can be written as a sum of positive squares in 2 ways, for example, as 1373584 + 831744 = 1172^2 + 912^2 .

It is a d-powerful number, because it can be written as 2⁷ + 2¹¹ + 0 + 5⁷ + 3⁹ + 2¹³ + 8⁷ .

It is a junction number, because it is equal to n+sod(n) for n = 2205299 and 2205308.

It is not an unprimeable number, because it can be changed into a prime (2205323) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5188 + ... + 5596.

It is an arithmetic number, because the mean of its divisors is an integer number (214799).

2^2205328 is an apocalyptic number.

It is an amenable number.

2205328 is a deficient number, since it is larger than the sum of its proper divisors (2090652).

2205328 is a wasteful number, since it uses less digits than its factorization.

2205328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 2205328 is about 1485.0346797297. The cubic root of 2205328 is about 130.1640532413.

The spelling of 2205328 in words is "two million, two hundred five thousand, three hundred twenty-eight".