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230200002016 = 252910710921269
BaseRepresentation
bin1101011001100011111…
…1010100010111100000
3211000012000220202001121
43112120333110113200
512232422200031031
6253430304542024
722426366506055
oct3263077242740
9730160822047
10230200002016
1189699999756
1238745621914
1318927c6c45a
14b1dad0d02c
155ec4908011
hex3598fd45e0

230200002016 has 96 divisors (see below), whose sum is σ = 477579564000. Its totient is φ = 109077276672.

The previous prime is 230200001971. The next prime is 230200002037. The reversal of 230200002016 is 610200002032.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10812630 + ... + 10833898.

It is an arithmetic number, because the mean of its divisors is an integer number (4974787125).

Almost surely, 2230200002016 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 230200002016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238789782000).

230200002016 is an abundant number, since it is smaller than the sum of its proper divisors (247379561984).

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

230200002016 is a wasteful number, since it uses less digits than its factorization.

230200002016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21524 (or 21516 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 230200002016 its sum of digits (16), we get a palindrome (230200002032).

Adding to 230200002016 its reverse (610200002032), we get a palindrome (840400004048).

The spelling of 230200002016 in words is "two hundred thirty billion, two hundred million, two thousand, sixteen".

Divisors: 1 2 4 8 16 29 32 58 107 109 116 214 218 232 428 436 464 856 872 928 1712 1744 3103 3161 3424 3488 6206 6322 11663 12412 12644 21269 23326 24824 25288 42538 46652 49648 50576 85076 93304 99296 101152 170152 186608 338227 340304 373216 616801 676454 680608 1233602 1352908 2275783 2318321 2467204 2705816 4551566 4636642 4934408 5411632 9103132 9273284 9868816 10823264 18206264 18546568 19737632 36412528 37093136 65997707 67231309 72825056 74186272 131995414 134462618 248060347 263990828 268925236 496120694 527981656 537850472 992241388 1055963312 1075700944 1984482776 2111926624 2151401888 3968965552 7193750063 7937931104 14387500126 28775000252 57550000504 115100001008 230200002016