2232221312 has 128 divisors (see below), whose sum is σ = 4876562880. Its totient is φ = 1013760000.

The previous prime is 2232221297. The next prime is 2232221333. The reversal of 2232221312 is 2131222322.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×2232221312³ (a number of 29 digits) contains 333 as substring.

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 15 ways as a sum of consecutive naturals, for example, 8893187 + ... + 8893437.

Almost surely, 2^2232221312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2232221312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2438281440).

2232221312 is an abundant number, since it is smaller than the sum of its proper divisors (2644341568).

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

2232221312 is a wasteful number, since it uses less digits than its factorization.

2232221312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 398 counting only the distinct ones).

The product of its digits is 576, while the sum is 20.

The square root of 2232221312 is about 47246.3894070224. The cubic root of 2232221312 is about 1306.9102077404.

Adding to 2232221312 its reverse (2131222322), we get a palindrome (4363443634).

It can be divided in two parts, 22322 and 21312, that added together give a palindrome (43634).

The spelling of 2232221312 in words is "two billion, two hundred thirty-two million, two hundred twenty-one thousand, three hundred twelve".