2205312 has 32 divisors (see below), whose sum is σ = 5858880. Its totient is φ = 734976.

The previous prime is 2205293. The next prime is 2205319. The reversal of 2205312 is 2135022.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 2205291 and 2205300.

It is not an unprimeable number, because it can be changed into a prime (2205319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2488 + ... + 3255.

It is an arithmetic number, because the mean of its divisors is an integer number (183090).

2^2205312 is an apocalyptic number.

It is an amenable number.

2205312 is an abundant number, since it is smaller than the sum of its proper divisors (3653568).

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

2205312 is an equidigital number, since it uses as much as digits as its factorization.

2205312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5760 (or 5748 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 2205312 is about 1485.0292926404. The cubic root of 2205312 is about 130.1637384537.

The spelling of 2205312 in words is "two million, two hundred five thousand, three hundred twelve".