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212333312 = 284319289
BaseRepresentation
bin11001010011111…
…11001100000000
3112210112122112202
430221333030000
5413324131222
633023012332
75155542362
oct1451771400
9483478482
10212333312
11a9947184
125b13a0a8
1334cb4c19
14202b2d32
1513993892
hexca7f300

212333312 has 36 divisors (see below), whose sum is σ = 433716360. Its totient is φ = 103692288.

The previous prime is 212333311. The next prime is 212333327. The reversal of 212333312 is 213333212.

It is not an unprimeable number, because it can be changed into a prime (212333311) by changing a digit.

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, 1364 + ... + 20652.

Almost surely, 2212333312 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 212333312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216858180).

212333312 is an abundant number, since it is smaller than the sum of its proper divisors (221383048).

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

212333312 is an equidigital number, since it uses as much as digits as its factorization.

212333312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19348 (or 19334 counting only the distinct ones).

The product of its digits is 648, while the sum is 20.

The square root of 212333312 is about 14571.6612642485. The cubic root of 212333312 is about 596.5855243041.

Adding to 212333312 its reverse (213333212), we get a palindrome (425666524).

The spelling of 212333312 in words is "two hundred twelve million, three hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 43 64 86 128 172 256 344 688 1376 2752 5504 11008 19289 38578 77156 154312 308624 617248 829427 1234496 1658854 2468992 3317708 4937984 6635416 13270832 26541664 53083328 106166656 212333312