2231144000 has 224 divisors, whose sum is σ = 5848502400. Its totient is φ = 841881600.

The previous prime is 2231143969. The next prime is 2231144017. The reversal of 2231144000 is 4411322.

It is a super-3 number, since 3×2231144000³ (a number of 29 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2231144000.

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 31 ways as a sum of consecutive naturals, for example, 13687919 + ... + 13688081.

Almost surely, 2^2231144000 is an apocalyptic number.

2231144000 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 2231144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2924251200).

2231144000 is an abundant number, since it is smaller than the sum of its proper divisors (3617358400).

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

2231144000 is a wasteful number, since it uses less digits than its factorization.

2231144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 2231144000 is about 47234.9870329187. The cubic root of 2231144000 is about 1306.6999274240.

Adding to 2231144000 its reverse (4411322), we get a palindrome (2235555322).

The spelling of 2231144000 in words is "two billion, two hundred thirty-one million, one hundred forty-four thousand".