2200133320 has 144 divisors (see below), whose sum is σ = 6330286620. Its totient is φ = 685681920.

The previous prime is 2200133293. The next prime is 2200133347. The reversal of 2200133320 is 233310022.

It is an interprime number because it is at equal distance from previous prime (2200133293) and next prime (2200133347).

It can be written as a sum of positive squares in 2 ways, for example, as 2177342244 + 22791076 = 46662^2 + 4774^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2200133294 and 2200133303.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 232522 + ... + 241798.

Almost surely, 2^2200133320 is an apocalyptic number.

2200133320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2200133320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3165143310).

2200133320 is an abundant number, since it is smaller than the sum of its proper divisors (4130153300).

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

2200133320 is a wasteful number, since it uses less digits than its factorization.

2200133320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9324 (or 9302 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 2200133320 is about 46905.5787726791. The cubic root of 2200133320 is about 1300.6177182679.

Adding to 2200133320 its reverse (233310022), we get a palindrome (2433443342).

The spelling of 2200133320 in words is "two billion, two hundred million, one hundred thirty-three thousand, three hundred twenty".