2002220233 has 12 divisors (see below), whose sum is σ = 2242851660. Its totient is φ = 1784467776.

The previous prime is 2002220153. The next prime is 2002220239. The reversal of 2002220233 is 3320222002.

It can be written as a sum of positive squares in 6 ways, for example, as 315311049 + 1686909184 = 17757^2 + 41072^2 .

It is not a de Polignac number, because 2002220233 - 2¹³ = 2002212041 is a prime.

It is a super-2 number, since 2×2002220233² = 8017771722869148578, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2002220239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 199366 + ... + 209167.

It is an arithmetic number, because the mean of its divisors is an integer number (186904305).

Almost surely, 2^2002220233 is an apocalyptic number.

It is an amenable number.

2002220233 is a deficient number, since it is larger than the sum of its proper divisors (240631427).

2002220233 is a wasteful number, since it uses less digits than its factorization.

2002220233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408588 (or 408575 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 2002220233 is about 44746.1756242922. The cubic root of 2002220233 is about 1260.3870971972.

Adding to 2002220233 its reverse (3320222002), we get a palindrome (5322442235).

The spelling of 2002220233 in words is "two billion, two million, two hundred twenty thousand, two hundred thirty-three".