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213024512 = 287311399
BaseRepresentation
bin11001011001001…
…11111100000000
3112211211202200202
430230213330000
5414013241022
633045504332
75164451501
oct1454477400
9484752622
10213024512
11aa279518
125b4120a8
133519770c
1420412ba8
1513a7d592
hexcb27f00

213024512 has 36 divisors (see below), whose sum is σ = 431079600. Its totient is φ = 105043968.

The previous prime is 213024509. The next prime is 213024533. The reversal of 213024512 is 215420312.

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 3 ways as a sum of consecutive naturals, for example, 12989 + ... + 24387.

Almost surely, 2213024512 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 213024512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215539800).

213024512 is an abundant number, since it is smaller than the sum of its proper divisors (218055088).

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

213024512 is an equidigital number, since it uses as much as digits as its factorization.

213024512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11488 (or 11474 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 213024512 is about 14595.3592624505. The cubic root of 213024512 is about 597.2321700138.

Adding to 213024512 its reverse (215420312), we get a palindrome (428444824).

The spelling of 213024512 in words is "two hundred thirteen million, twenty-four thousand, five hundred twelve".

Divisors: 1 2 4 8 16 32 64 73 128 146 256 292 584 1168 2336 4672 9344 11399 18688 22798 45596 91192 182384 364768 729536 832127 1459072 1664254 2918144 3328508 6657016 13314032 26628064 53256128 106512256 213024512