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208317230472 = 233137911097621
BaseRepresentation
bin1100001000000010101…
…1001010110110001000
3201220200222121202210110
43002000223022312020
511403113202333342
6235411041114320
721023203146231
oct3020053126610
9656628552713
10208317230472
118038a71159a
12344590289a0
131684b4b3a20
14a122966088
155643733c9c
hex3080acad88

208317230472 has 128 divisors (see below), whose sum is σ = 568540224000. Its totient is φ = 63220884480.

The previous prime is 208317230467. The next prime is 208317230479. The reversal of 208317230472 is 274032713802.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 208317230472.

It is not an unprimeable number, because it can be changed into a prime (208317230479) 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, 27330822 + ... + 27338442.

It is an arithmetic number, because the mean of its divisors is an integer number (4441720500).

Almost surely, 2208317230472 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 208317230472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284270112000).

208317230472 is an abundant number, since it is smaller than the sum of its proper divisors (360222993528).

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

208317230472 is a wasteful number, since it uses less digits than its factorization.

208317230472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8831 (or 8827 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The spelling of 208317230472 in words is "two hundred eight billion, three hundred seventeen million, two hundred thirty thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 79 104 156 158 237 312 316 474 632 948 1027 1109 1896 2054 2218 3081 3327 4108 4436 6162 6654 7621 8216 8872 12324 13308 14417 15242 22863 24648 26616 28834 30484 43251 45726 57668 60968 86502 87611 91452 99073 115336 173004 175222 182904 198146 262833 297219 346008 350444 396292 525666 594438 602059 700888 792584 1051332 1138943 1188876 1204118 1806177 2102664 2277886 2377752 2408236 3416829 3612354 4555772 4816472 6833658 7224708 7826767 8451689 9111544 13667316 14449416 15653534 16903378 23480301 25355067 27334632 31307068 33806756 46960602 50710134 62614136 67613512 93921204 101420268 109871957 187842408 202840536 219743914 329615871 439487828 659231742 667683431 878975656 1318463484 1335366862 2003050293 2636926968 2670733724 4006100586 5341467448 8012201172 8679884603 16024402344 17359769206 26039653809 34719538412 52079307618 69439076824 104158615236 208317230472