312226432 has 96 divisors (see below), whose sum is σ = 735354720. Its totient is φ = 131636736.

The previous prime is 312226429. The next prime is 312226433. The reversal of 312226432 is 234622213.

It is a junction number, because it is equal to n+sod(n) for n = 312226397 and 312226406.

It is not an unprimeable number, because it can be changed into a prime (312226433) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 419853 + ... + 420595.

It is an arithmetic number, because the mean of its divisors is an integer number (7659945).

Almost surely, 2^312226432 is an apocalyptic number.

312226432 is a gapful number since it is divisible by the number (32) 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 312226432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367677360).

312226432 is an abundant number, since it is smaller than the sum of its proper divisors (423128288).

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

312226432 is an equidigital number, since it uses as much as digits as its factorization.

312226432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838 (or 819 counting only the distinct ones).

The product of its digits is 3456, while the sum is 25.

The square root of 312226432 is about 17669.9301639820. The cubic root of 312226432 is about 678.4063255907.

Adding to 312226432 its reverse (234622213), we get a palindrome (546848645).

The spelling of 312226432 in words is "three hundred twelve million, two hundred twenty-six thousand, four hundred thirty-two".