312224352 has 192 divisors, whose sum is σ = 940439808. Its totient is φ = 89856000.

The previous prime is 312224351. The next prime is 312224357. The reversal of 312224352 is 253422213.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312224351) 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, 2383327 + ... + 2383457.

It is an arithmetic number, because the mean of its divisors is an integer number (4898124).

Almost surely, 2^312224352 is an apocalyptic number.

312224352 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 312224352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470219904).

312224352 is an abundant number, since it is smaller than the sum of its proper divisors (628215456).

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

312224352 is a wasteful number, since it uses less digits than its factorization.

312224352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 245 counting only the distinct ones).

The product of its digits is 2880, while the sum is 24.

The square root of 312224352 is about 17669.8713068319. The cubic root of 312224352 is about 678.4048191111.

Adding to 312224352 its reverse (253422213), we get a palindrome (565646565).

The spelling of 312224352 in words is "three hundred twelve million, two hundred twenty-four thousand, three hundred fifty-two".