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212023344 = 24313259443
BaseRepresentation
bin11001010001100…
…11100000110000
3112202221220100110
430220303200300
5413234221334
633012221320
75153111601
oct1450634060
9482856313
10212023344
11a9755305
125b00a840
1334c06b00
1420231da8
1513931ae9
hexca33830

212023344 has 120 divisors (see below), whose sum is σ = 604514880. Its totient is φ = 63987456.

The previous prime is 212023327. The next prime is 212023349. The reversal of 212023344 is 443320212.

It is a self number, because there is not a number n which added to its sum of digits gives 212023344.

It is not an unprimeable number, because it can be changed into a prime (212023349) by changing a digit.

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, 478387 + ... + 478829.

It is an arithmetic number, because the mean of its divisors is an integer number (5037624).

Almost surely, 2212023344 is an apocalyptic number.

212023344 is a gapful number since it is divisible by the number (24) 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 212023344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302257440).

212023344 is an abundant number, since it is smaller than the sum of its proper divisors (392491536).

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

212023344 is a wasteful number, since it uses less digits than its factorization.

212023344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 212023344 is about 14561.0213927458. The cubic root of 212023344 is about 596.2950808225.

Adding to 212023344 its reverse (443320212), we get a palindrome (655343556).

The spelling of 212023344 in words is "two hundred twelve million, twenty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 59 78 104 118 156 169 177 208 236 312 338 354 443 472 507 624 676 708 767 886 944 1014 1329 1352 1416 1534 1772 2028 2301 2658 2704 2832 3068 3544 4056 4602 5316 5759 6136 7088 8112 9204 9971 10632 11518 12272 17277 18408 19942 21264 23036 26137 29913 34554 36816 39884 46072 52274 59826 69108 74867 78411 79768 92144 104548 119652 138216 149734 156822 159536 209096 224601 239304 276432 299468 313644 339781 418192 449202 478608 598936 627288 679562 898404 1019343 1197872 1254576 1359124 1796808 2038686 2718248 3593616 4077372 4417153 5436496 8154744 8834306 13251459 16309488 17668612 26502918 35337224 53005836 70674448 106011672 212023344