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232241103396 = 22344126532
BaseRepresentation
bin1101100001001010100…
…1100000001000100100
3211012110021121102210000
43120102221200020210
512301112210302041
6254405020501300
722531102544001
oct3302251401044
9735407542700
10232241103396
118a5470593a5
12390150aa830
1318b91aa7753
14b3520268a8
156093bd8bb6
hex3612a60224

232241103396 has 135 divisors (see below), whose sum is σ = 623247628003. Its totient is φ = 75409902720.

The previous prime is 232241103379. The next prime is 232241103397. The reversal of 232241103396 is 693301142232.

The square root of 232241103396 is 481914.

It is a perfect power (a square), and thus also a powerful number.

232241103396 is a `hidden beast` number, since 23 + 2 + 241 + 1 + 0 + 3 + 396 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 130183856100 + 102057247296 = 360810^2 + 319464^2 .

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 232241103396.

It is not an unprimeable number, because it can be changed into a prime (232241103397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 355652206 + ... + 355652858.

Almost surely, 2232241103396 is an apocalyptic number.

232241103396 is the 481914-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232241103396

232241103396 is an abundant number, since it is smaller than the sum of its proper divisors (391006524607).

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

232241103396 is an frugal number, since it uses more digits than its factorization.

232241103396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1404 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

Multiplying 232241103396 by its sum of digits (36), we get a square (8360679722256 = 28914842).

232241103396 divided by its sum of digits (36) gives a square (6451141761 = 803192).

The spelling of 232241103396 in words is "two hundred thirty-two billion, two hundred forty-one million, one hundred three thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 81 82 108 123 162 164 246 324 369 492 653 738 1107 1306 1476 1681 1959 2214 2612 3321 3362 3918 4428 5043 5877 6642 6724 7836 10086 11754 13284 15129 17631 20172 23508 26773 30258 35262 45387 52893 53546 60516 70524 80319 90774 105786 107092 136161 160638 181548 211572 240957 272322 321276 426409 481914 544644 722871 852818 963828 1097693 1279227 1445742 1705636 2168613 2195386 2558454 2891484 3293079 3837681 4337226 4390772 5116908 6586158 7675362 8674452 9879237 11513043 13172316 15350724 17482769 19758474 23026086 29637711 34539129 34965538 39516948 46052172 52448307 59275422 69078258 69931076 88913133 104896614 118550844 138156516 157344921 177826266 209793228 314689842 355652532 472034763 629379684 716793529 944069526 1416104289 1433587058 1888139052 2150380587 2832208578 2867174116 4300761174 5664417156 6451141761 8601522348 12902283522 19353425283 25804567044 38706850566 58060275849 77413701132 116120551698 232241103396