212236992 has 336 divisors, whose sum is σ = 732251520. Its totient is φ = 58060800.

The previous prime is 212236987. The next prime is 212237009. The reversal of 212236992 is 299632212.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

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 47 ways as a sum of consecutive naturals, for example, 4935723 + ... + 4935765.

It is an arithmetic number, because the mean of its divisors is an integer number (2179320).

Almost surely, 2^212236992 is an apocalyptic number.

212236992 is a gapful number since it is divisible by the number (22) 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 212236992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366125760).

212236992 is an abundant number, since it is smaller than the sum of its proper divisors (520014528).

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

212236992 is a wasteful number, since it uses less digits than its factorization.

212236992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 119 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 212236992 is about 14568.3558440889. The cubic root of 212236992 is about 596.4953016752.

The spelling of 212236992 in words is "two hundred twelve million, two hundred thirty-six thousand, nine hundred ninety-two".