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230020518 = 237132973199
BaseRepresentation
bin11011011010111…
…01010110100110
3121000211020211110
431231131112212
5432341124033
634454045450
75462066520
oct1555352646
9530736743
10230020518
11108927902
1265049886
1338868720
1422798a10
15152d9363
hexdb5d5a6

230020518 has 128 divisors (see below), whose sum is σ = 596736000. Its totient is φ = 57480192.

The previous prime is 230020513. The next prime is 230020541. The reversal of 230020518 is 815020032.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 230020494 and 230020503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230020513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1155783 + ... + 1155981.

It is an arithmetic number, because the mean of its divisors is an integer number (4662000).

Almost surely, 2230020518 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230020518, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298368000).

230020518 is an abundant number, since it is smaller than the sum of its proper divisors (366715482).

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

230020518 is a wasteful number, since it uses less digits than its factorization.

230020518 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326.

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 230020518 is about 15166.4273314449. The cubic root of 230020518 is about 612.7107861494.

The spelling of 230020518 in words is "two hundred thirty million, twenty thousand, five hundred eighteen".

Divisors: 1 2 3 6 7 13 14 21 26 29 39 42 58 73 78 87 91 146 174 182 199 203 219 273 377 398 406 438 511 546 597 609 754 949 1022 1131 1194 1218 1393 1533 1898 2117 2262 2587 2639 2786 2847 3066 4179 4234 5174 5278 5694 5771 6351 6643 7761 7917 8358 11542 12702 13286 14527 14819 15522 15834 17313 18109 19929 27521 29054 29638 34626 36218 39858 40397 43581 44457 54327 55042 75023 80794 82563 87162 88914 101689 108654 121191 150046 165126 188851 192647 203378 225069 242382 305067 377702 385294 421283 450138 525161 566553 577941 610134 842566 1050322 1133106 1155882 1263849 1321957 1575483 2527698 2643914 2948981 3150966 3965871 5476679 5897962 7931742 8846943 10953358 16430037 17693886 32860074 38336753 76673506 115010259 230020518