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212121344 = 283126729
BaseRepresentation
bin11001010010010…
…11011100000000
3112210010212210002
430221023130000
5413300340334
633014255132
75154000401
oct1451133400
9483125702
10212121344
11a98119a6
125b0574a8
1334c3c5b6
14202599a8
1513950b7e
hexca4b700

212121344 has 36 divisors (see below), whose sum is σ = 437088960. Its totient is φ = 102635520.

The previous prime is 212121319. The next prime is 212121379. The reversal of 212121344 is 443121212.

212121344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5429 + ... + 21300.

It is an arithmetic number, because the mean of its divisors is an integer number (12141360).

Almost surely, 2212121344 is an apocalyptic number.

It is an amenable number.

212121344 is an abundant number, since it is smaller than the sum of its proper divisors (224967616).

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

212121344 is an equidigital number, since it uses as much as digits as its factorization.

212121344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26776 (or 26762 counting only the distinct ones).

The product of its digits is 384, while the sum is 20.

The square root of 212121344 is about 14564.3861525297. The cubic root of 212121344 is about 596.3869385015.

Adding to 212121344 its reverse (443121212), we get a palindrome (655242556).

The spelling of 212121344 in words is "two hundred twelve million, one hundred twenty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 256 496 992 1984 3968 7936 26729 53458 106916 213832 427664 828599 855328 1657198 1710656 3314396 3421312 6628792 6842624 13257584 26515168 53030336 106060672 212121344