212834048 has 162 divisors, whose sum is σ = 532674576. Its totient is φ = 84575232.

The previous prime is 212834023. The next prime is 212834051. The reversal of 212834048 is 840438212.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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 17 ways as a sum of consecutive naturals, for example, 4528361 + ... + 4528407.

Almost surely, 2^212834048 is an apocalyptic number.

212834048 is a gapful number since it is divisible by the number (28) 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 212834048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266337288).

212834048 is an abundant number, since it is smaller than the sum of its proper divisors (319840528).

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

212834048 is an equidigital number, since it uses as much as digits as its factorization.

212834048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 212834048 is about 14588.8329896534. The cubic root of 212834048 is about 597.0541229818.

It can be divided in two parts, 2128 and 34048, that multiplied together give a square (72454144 = 8512²).

The spelling of 212834048 in words is "two hundred twelve million, eight hundred thirty-four thousand, forty-eight".