312226164 has 120 divisors (see below), whose sum is σ = 873155360. Its totient is φ = 96997824.

The previous prime is 312226153. The next prime is 312226169. The reversal of 312226164 is 461622213.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312226169) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 412074 + ... + 412830.

Almost surely, 2^312226164 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 312226164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436577680).

312226164 is an abundant number, since it is smaller than the sum of its proper divisors (560929196).

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

312226164 is a wasteful number, since it uses less digits than its factorization.

312226164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859 (or 848 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 312226164 is about 17669.9225804756. The cubic root of 312226164 is about 678.4061314870.

Adding to 312226164 its reverse (461622213), we get a palindrome (773848377).

The spelling of 312226164 in words is "three hundred twelve million, two hundred twenty-six thousand, one hundred sixty-four".