212465216 has 28 divisors (see below), whose sum is σ = 425797980. Its totient is φ = 105177600.

The previous prime is 212465203. The next prime is 212465233. The reversal of 212465216 is 612564212.

It can be written as a sum of positive squares in 2 ways, for example, as 171505216 + 40960000 = 13096^2 + 6400^2 .

It is a super-3 number, since 3×212465216³ (a number of 26 digits) contains 333 as substring.

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 3 ways as a sum of consecutive naturals, for example, 9971 + ... + 22898.

Almost surely, 2^212465216 is an apocalyptic number.

It is an amenable number.

212465216 is an abundant number, since it is smaller than the sum of its proper divisors (213332764).

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

212465216 is a wasteful number, since it uses less digits than its factorization.

212465216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32982 (or 32972 counting only the distinct ones).

The product of its digits is 5760, while the sum is 29.

The square root of 212465216 is about 14576.1866069284. The cubic root of 212465216 is about 596.7090340933.

It can be divided in two parts, 21246 and 5216, that added together give a palindrome (26462).

The spelling of 212465216 in words is "two hundred twelve million, four hundred sixty-five thousand, two hundred sixteen".