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230971320 = 233251036229
BaseRepresentation
bin11011100010001…
…01011110111000
3121002121120002100
431301011132320
5433112040240
634530303400
75503136526
oct1561053670
9532546070
10230971320
11109417198
1265427b60
1338b0c428
1422965316
1515425e30
hexdc457b8

230971320 has 96 divisors (see below), whose sum is σ = 758066400. Its totient is φ = 60984576.

The previous prime is 230971319. The next prime is 230971331. The reversal of 230971320 is 23179032.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33966 + ... + 40194.

It is an arithmetic number, because the mean of its divisors is an integer number (7896525).

Almost surely, 2230971320 is an apocalyptic number.

230971320 is a gapful number since it is divisible by the number (20) 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 230971320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379033200).

230971320 is an abundant number, since it is smaller than the sum of its proper divisors (527095080).

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

230971320 is a wasteful number, since it uses less digits than its factorization.

230971320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6349 (or 6342 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 230971320 is about 15197.7406215529. The cubic root of 230971320 is about 613.5538497656.

The spelling of 230971320 in words is "two hundred thirty million, nine hundred seventy-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 103 120 180 206 309 360 412 515 618 824 927 1030 1236 1545 1854 2060 2472 3090 3708 4120 4635 6180 6229 7416 9270 12360 12458 18540 18687 24916 31145 37080 37374 49832 56061 62290 74748 93435 112122 124580 149496 186870 224244 249160 280305 373740 448488 560610 641587 747480 1121220 1283174 1924761 2242440 2566348 3207935 3849522 5132696 5774283 6415870 7699044 9623805 11548566 12831740 15398088 19247610 23097132 25663480 28871415 38495220 46194264 57742830 76990440 115485660 230971320