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182821230 = 232517192331
BaseRepresentation
bin10101110010110…
…10000101101110
3110202000021120200
422321122011232
5333300234410
630050254330
74346645334
oct1271320556
9422007520
10182821230
119421a329
12512873a6
132bb51057
141a3cdb54
15110b43c0
hexae5a16e

182821230 has 144 divisors (see below), whose sum is σ = 532784304. Its totient is φ = 43338240.

The previous prime is 182821217. The next prime is 182821267. The reversal of 182821230 is 32128281.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 182821194 and 182821203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 552165 + ... + 552495.

It is an arithmetic number, because the mean of its divisors is an integer number (3699891).

Almost surely, 2182821230 is an apocalyptic number.

182821230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 182821230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266392152).

182821230 is an abundant number, since it is smaller than the sum of its proper divisors (349963074).

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

182821230 is a wasteful number, since it uses less digits than its factorization.

182821230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 182821230 is about 13521.1401146501. The cubic root of 182821230 is about 567.5562042053.

The spelling of 182821230 in words is "one hundred eighty-two million, eight hundred twenty-one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 19 30 34 38 45 51 57 85 90 95 102 114 153 170 171 190 255 285 306 323 331 342 361 510 570 646 662 722 765 855 969 993 1083 1530 1615 1655 1710 1805 1938 1986 2166 2907 2979 3230 3249 3310 3610 4845 4965 5415 5627 5814 5958 6137 6289 6498 9690 9930 10830 11254 12274 12578 14535 14895 16245 16881 18411 18867 28135 29070 29790 30685 31445 32490 33762 36822 37734 50643 55233 56270 56601 61370 62890 84405 92055 94335 101286 106913 110466 113202 119491 168810 184110 188670 213826 238982 253215 276165 283005 320739 358473 506430 534565 552330 566010 597455 641478 716946 962217 1069130 1075419 1194910 1603695 1792365 1924434 2031347 2150838 3207390 3584730 4062694 4811085 5377095 6094041 9622170 10156735 10754190 12188082 18282123 20313470 30470205 36564246 60940410 91410615 182821230