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230515515032 = 2311191015692399
BaseRepresentation
bin1101011010101111001…
…0111001111010011000
3211001000000121110112212
43112223302321322120
512234043432440112
6253521455254252
722440250356065
oct3265362717230
9731000543485
10230515515032
1189840aa9310
123881321a388
131897843c24a
14b22ab9dc6c
155ee247d522
hex35abcb9e98

230515515032 has 128 divisors (see below), whose sum is σ = 502329600000. Its totient is φ = 98068608000.

The previous prime is 230515515029. The next prime is 230515515037.

230515515032 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2305155150322 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 230515515032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230515515037) 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, 96086969 + ... + 96089367.

It is an arithmetic number, because the mean of its divisors is an integer number (3924450000).

Almost surely, 2230515515032 is an apocalyptic number.

230515515032 is a gapful number since it is divisible by the number (22) 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 230515515032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251164800000).

230515515032 is an abundant number, since it is smaller than the sum of its proper divisors (271814084968).

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

230515515032 is a wasteful number, since it uses less digits than its factorization.

230515515032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3105 (or 3101 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 32.

It can be divided in two parts, 230515 and 515032, that added together give a palindrome (745547).

The spelling of 230515515032 in words is "two hundred thirty billion, five hundred fifteen million, five hundred fifteen thousand, thirty-two".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 101 152 202 209 404 418 569 808 836 1111 1138 1672 1919 2222 2276 2399 3838 4444 4552 4798 6259 7676 8888 9596 10811 12518 15352 19192 21109 21622 25036 26389 42218 43244 45581 50072 52778 57469 84436 86488 91162 105556 114938 118921 168872 182324 211112 229876 237842 242299 364648 459752 475684 484598 501391 632159 951368 969196 1002782 1091911 1264318 1365031 1938392 2005564 2183822 2528636 2665289 2730062 4011128 4367644 4603681 5057272 5330578 5460124 8735288 9207362 10661156 10920248 12011021 15015341 18414724 21322312 24022042 25935589 30030682 36829448 48044084 50640491 51871178 60061364 96088168 101280982 103742356 120122728 137868131 202561964 207484712 275736262 285291479 405123928 551472524 570582958 1102945048 1141165916 1516549441 2282331832 2619494489 3033098882 5238988978 6066197764 10477977956 12132395528 20955955912 28814439379 57628878758 115257757516 230515515032