2231200000 has 108 divisors (see below), whose sum is σ = 5568745140. Its totient is φ = 892160000.

The previous prime is 2231199961. The next prime is 2231200021. The reversal of 2231200000 is 21322.

It can be written as a sum of positive squares in 6 ways, for example, as 1726568704 + 504631296 = 41552^2 + 22464^2 .

It is a super-3 number, since 3×2231200000³ (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 2231200000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 798606 + ... + 801394.

It is an arithmetic number, because the mean of its divisors is an integer number (51562455).

Almost surely, 2^2231200000 is an apocalyptic number.

2231200000 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 2231200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2784372570).

2231200000 is an abundant number, since it is smaller than the sum of its proper divisors (3337545140).

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

2231200000 is an frugal number, since it uses more digits than its factorization.

2231200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2830 (or 2796 counting only the distinct ones).

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

The square root of 2231200000 is about 47235.5798101389. The cubic root of 2231200000 is about 1306.7108597206.

Adding to 2231200000 its reverse (21322), we get a palindrome (2231221322).

The spelling of 2231200000 in words is "two billion, two hundred thirty-one million, two hundred thousand".