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230639000724 = 223311218719433
BaseRepresentation
bin1101011011001100100…
…1111101110010010100
3211001022121222012002000
43112303021331302110
512234322041010344
6253542030115300
722443310105506
oct3266311756224
9731277865060
10230639000724
11898a4780a00
123884864bb30
1318997bb68c2
14b23d345d76
155eed221a69
hex35b327dc94

230639000724 has 144 divisors (see below), whose sum is σ = 657675083520. Its totient is φ = 69845846400.

The previous prime is 230639000723. The next prime is 230639000737. The reversal of 230639000724 is 427000936032.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230639000723) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24445512 + ... + 24454944.

It is an arithmetic number, because the mean of its divisors is an integer number (4567188080).

Almost surely, 2230639000724 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 230639000724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328837541760).

230639000724 is an abundant number, since it is smaller than the sum of its proper divisors (427036082796).

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

230639000724 is a wasteful number, since it uses less digits than its factorization.

230639000724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11339 (or 11320 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

Adding to 230639000724 its reverse (427000936032), we get a palindrome (657639936756).

The spelling of 230639000724 in words is "two hundred thirty billion, six hundred thirty-nine million, seven hundred twenty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 121 132 198 242 297 363 396 484 594 726 1089 1188 1452 1871 2178 3267 3742 4356 5613 6534 7484 9433 11226 13068 16839 18866 20581 22452 28299 33678 37732 41162 50517 56598 61743 67356 82324 84897 101034 103763 113196 123486 169794 185229 202068 207526 226391 246972 254691 311289 339588 370458 415052 452782 509382 555687 622578 679173 740916 905564 933867 1018764 1111374 1141393 1245156 1358346 1867734 2037519 2222748 2282786 2716692 2801601 3424179 3735468 4075038 4565572 5603202 6112557 6848358 8150076 10272537 11206404 12225114 13696716 17649143 20545074 24450228 30817611 35298286 41090148 52947429 61635222 70596572 105894858 123270444 158842287 194140573 211789716 317684574 388281146 476526861 582421719 635369148 776562292 953053722 1164843438 1747265157 1906107444 2135546303 2329686876 3494530314 4271092606 5241795471 6406638909 6989060628 8542185212 10483590942 12813277818 19219916727 20967181884 25626555636 38439833454 57659750181 76879666908 115319500362 230639000724