2232100000 has 288 divisors, whose sum is σ = 6325188912. Its totient is φ = 768000000.

The previous prime is 2232099971. The next prime is 2232100007. The reversal of 2232100000 is 12322.

It can be written as a sum of positive squares in 24 ways, for example, as 1358069904 + 874030096 = 36852^2 + 29564^2 .

It is a super-3 number, since 3×2232100000³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 2232100000.

It is not an unprimeable number, because it can be changed into a prime (2232100007) 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, 22099950 + ... + 22100050.

Almost surely, 2^2232100000 is an apocalyptic number.

2232100000 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 2232100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3162594456).

2232100000 is an abundant number, since it is smaller than the sum of its proper divisors (4093088912).

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

2232100000 is a wasteful number, since it uses less digits than its factorization.

2232100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 2232100000 is about 47245.1055666087. The cubic root of 2232100000 is about 1306.8865322559.

Adding to 2232100000 its reverse (12322), we get a palindrome (2232112322).

The spelling of 2232100000 in words is "two billion, two hundred thirty-two million, one hundred thousand".