2232000312 has 256 divisors, whose sum is σ = 6466521600. Its totient is φ = 638238720.

The previous prime is 2232000311. The next prime is 2232000317. The reversal of 2232000312 is 2130002322.

It is a super-3 number, since 3×2232000312³ (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2232000291 and 2232000300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2232000311) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20859763 + ... + 20859869.

It is an arithmetic number, because the mean of its divisors is an integer number (25259850).

Almost surely, 2^2232000312 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 2232000312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3233260800).

2232000312 is an abundant number, since it is smaller than the sum of its proper divisors (4234521288).

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

2232000312 is a wasteful number, since it uses less digits than its factorization.

2232000312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 2232000312 is about 47244.0505460741. The cubic root of 2232000312 is about 1306.8670763110.

Adding to 2232000312 its reverse (2130002322), we get a palindrome (4362002634).

The spelling of 2232000312 in words is "two billion, two hundred thirty-two million, three hundred twelve", and thus it is an aban number.