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20223216 = 2433132277
BaseRepresentation
bin100110100100…
…1010011110000
31102001110001000
41031021103300
520134120331
62001242000
7333615546
oct115112360
942043030
1020223216
1110463002
126933300
134260c00
142985d96
151b970e6
hex13494f0

20223216 has 120 divisors (see below), whose sum is σ = 63083760. Its totient is φ = 6200064.

The previous prime is 20223193. The next prime is 20223221. The reversal of 20223216 is 61232202.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 23 ways as a sum of consecutive naturals, for example, 72870 + ... + 73146.

It is an arithmetic number, because the mean of its divisors is an integer number (525698).

Almost surely, 220223216 is an apocalyptic number.

20223216 is a gapful number since it is divisible by the number (26) 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 20223216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31541880).

20223216 is an abundant number, since it is smaller than the sum of its proper divisors (42860544).

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

20223216 is a wasteful number, since it uses less digits than its factorization.

20223216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 20223216 is about 4497.0230152847. The cubic root of 20223216 is about 272.4478636614.

Adding to 20223216 its reverse (61232202), we get a palindrome (81455418).

The spelling of 20223216 in words is "twenty million, two hundred twenty-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 169 208 216 234 277 312 338 351 432 468 507 554 624 676 702 831 936 1014 1108 1352 1404 1521 1662 1872 2028 2216 2493 2704 2808 3042 3324 3601 4056 4432 4563 4986 5616 6084 6648 7202 7479 8112 9126 9972 10803 12168 13296 14404 14958 18252 19944 21606 24336 28808 29916 32409 36504 39888 43212 46813 57616 59832 64818 73008 86424 93626 97227 119664 129636 140439 172848 187252 194454 259272 280878 374504 388908 421317 518544 561756 749008 777816 842634 1123512 1263951 1555632 1685268 2247024 2527902 3370536 5055804 6741072 10111608 20223216