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214504368 = 243131773277
BaseRepresentation
bin11001100100100…
…01001110110000
3112221121221200020
430302101032300
5414403114433
633141323440
75213154111
oct1462211660
9487557606
10214504368
1110009a341
125ba06580
1335595180
14206ba208
1513c71cb3
hexcc913b0

214504368 has 160 divisors (see below), whose sum is σ = 642833856. Its totient is φ = 61046784.

The previous prime is 214504363. The next prime is 214504379. The reversal of 214504368 is 863405412.

It is a house number.

It is not an unprimeable number, because it can be changed into a prime (214504361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 774246 + ... + 774522.

Almost surely, 2214504368 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 214504368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321416928).

214504368 is an abundant number, since it is smaller than the sum of its proper divisors (428329488).

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

214504368 is a wasteful number, since it uses less digits than its factorization.

214504368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 214504368 is about 14645.9676361789. The cubic root of 214504368 is about 598.6119468794.

The spelling of 214504368 in words is "two hundred fourteen million, five hundred four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 34 39 48 51 52 68 73 78 102 104 136 146 156 204 208 219 221 272 277 292 312 408 438 442 554 584 624 663 816 831 876 884 949 1108 1168 1241 1326 1662 1752 1768 1898 2216 2482 2652 2847 3324 3504 3536 3601 3723 3796 4432 4709 4964 5304 5694 6648 7202 7446 7592 9418 9928 10608 10803 11388 13296 14127 14404 14892 15184 16133 18836 19856 20221 21606 22776 28254 28808 29784 32266 37672 40442 43212 45552 48399 56508 57616 59568 60663 61217 64532 75344 80884 86424 96798 113016 121326 122434 129064 161768 172848 183651 193596 226032 242652 244868 258128 262873 323536 343757 367302 387192 485304 489736 525746 687514 734604 774384 788619 970608 979472 1031271 1051492 1375028 1469208 1577238 2062542 2102984 2750056 2938416 3154476 4125084 4205968 4468841 5500112 6308952 8250168 8937682 12617904 13406523 16500336 17875364 26813046 35750728 53626092 71501456 107252184 214504368