312052224 has 240 divisors, whose sum is σ = 966563136. Its totient is φ = 89210880.

The previous prime is 312052211. The next prime is 312052241. The reversal of 312052224 is 422250213.

312052224 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 17665²-1.

It is a self number, because there is not a number n which added to its sum of digits gives 312052224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4274652 + ... + 4274724.

Almost surely, 2^312052224 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 312052224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483281568).

312052224 is an abundant number, since it is smaller than the sum of its proper divisors (654510912).

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

312052224 is a wasteful number, since it uses less digits than its factorization.

312052224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 312052224 is about 17664.9999716954. Note that the first 4 decimals coincide. The cubic root of 312052224 is about 678.2801289332.

The spelling of 312052224 in words is "three hundred twelve million, fifty-two thousand, two hundred twenty-four".