212262816 has 96 divisors (see below), whose sum is σ = 595703808. Its totient is φ = 65945600.

The previous prime is 212262793. The next prime is 212262839. The reversal of 212262816 is 618262212.

It is an interprime number because it is at equal distance from previous prime (212262793) and next prime (212262839).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 183841 + ... + 184991.

It is an arithmetic number, because the mean of its divisors is an integer number (6205248).

Almost surely, 2^212262816 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 212262816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297851904).

212262816 is an abundant number, since it is smaller than the sum of its proper divisors (383440992).

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

212262816 is a wasteful number, since it uses less digits than its factorization.

212262816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1294 (or 1286 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 212262816 is about 14569.2421216754. The cubic root of 212262816 is about 596.5194936093.

It can be divided in two parts, 21226 and 2816, that added together give a palindrome (24042).

The spelling of 212262816 in words is "two hundred twelve million, two hundred sixty-two thousand, eight hundred sixteen".