312514224 has 160 divisors (see below), whose sum is σ = 926988288. Its totient is φ = 89856000.

The previous prime is 312514217. The next prime is 312514229. The reversal of 312514224 is 422415213.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 312514194 and 312514203.

It is not an unprimeable number, because it can be changed into a prime (312514229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 998292 + ... + 998604.

Almost surely, 2^312514224 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 312514224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463494144).

312514224 is an abundant number, since it is smaller than the sum of its proper divisors (614474064).

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

312514224 is a wasteful number, since it uses less digits than its factorization.

312514224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 421 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 312514224 is about 17678.0718405600. The cubic root of 312514224 is about 678.6146999595.

Adding to 312514224 its reverse (422415213), we get a palindrome (734929437).

The spelling of 312514224 in words is "three hundred twelve million, five hundred fourteen thousand, two hundred twenty-four".