2220311133 has 48 divisors (see below), whose sum is σ = 3366807600. Its totient is φ = 1408637952.

The previous prime is 2220311117. The next prime is 2220311153. The reversal of 2220311133 is 3311130222.

2220311133 is a `hidden beast` number, since 2 + 220 + 311 + 133 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 220611609 + 1999699524 = 14853^2 + 44718^2 .

It is not a de Polignac number, because 2220311133 - 2⁴ = 2220311117 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220311153) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3621735 + ... + 3622347.

It is an arithmetic number, because the mean of its divisors is an integer number (70141825).

Almost surely, 2^2220311133 is an apocalyptic number.

It is an amenable number.

2220311133 is a deficient number, since it is larger than the sum of its proper divisors (1146496467).

2220311133 is a wasteful number, since it uses less digits than its factorization.

2220311133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2220311133 is about 47120.1775569660. The cubic root of 2220311133 is about 1304.5816900347.

Adding to 2220311133 its reverse (3311130222), we get a palindrome (5531441355).

The spelling of 2220311133 in words is "two billion, two hundred twenty million, three hundred eleven thousand, one hundred thirty-three".