2231013200 has 120 divisors (see below), whose sum is σ = 5791947000. Its totient is φ = 820961280.

The previous prime is 2231013097. The next prime is 2231013223. The reversal of 2231013200 is 23101322.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 134838544 + 2096174656 = 11612^2 + 45784^2 .

It is a super-3 number, since 3×2231013200³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2126276 + ... + 2127324.

It is an arithmetic number, because the mean of its divisors is an integer number (48266225).

Almost surely, 2^2231013200 is an apocalyptic number.

2231013200 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 2231013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2895973500).

2231013200 is an abundant number, since it is smaller than the sum of its proper divisors (3560933800).

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

2231013200 is a wasteful number, since it uses less digits than its factorization.

2231013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1489 (or 1478 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 2231013200 is about 47233.6024457165. The cubic root of 2231013200 is about 1306.6743919901.

Adding to 2231013200 its reverse (23101322), we get a palindrome (2254114522).

The spelling of 2231013200 in words is "two billion, two hundred thirty-one million, thirteen thousand, two hundred".