311142216 has 128 divisors (see below), whose sum is σ = 979983360. Its totient is φ = 79968000.

The previous prime is 311142203. The next prime is 311142263. The reversal of 311142216 is 612241113.

It is a super-4 number, since 4×311142216⁴ (a number of 35 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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

It is a junction number, because it is equal to n+sod(n) for n = 311142192 and 311142201.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 185815 + ... + 187481.

It is an arithmetic number, because the mean of its divisors is an integer number (7656120).

Almost surely, 2^311142216 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 311142216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489991680).

311142216 is an abundant number, since it is smaller than the sum of its proper divisors (668841144).

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

311142216 is a wasteful number, since it uses less digits than its factorization.

311142216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1795 (or 1791 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

The square root of 311142216 is about 17639.2237924462. The cubic root of 311142216 is about 677.6201525257.

Adding to 311142216 its reverse (612241113), we get a palindrome (923383329).

The spelling of 311142216 in words is "three hundred eleven million, one hundred forty-two thousand, two hundred sixteen".