Search a number
-
+
23241271032 = 233475986843
BaseRepresentation
bin10101101001010010…
…011010011011111000
32012222201112220020000
4111221102122123320
5340044231133112
614402113033000
71451640354450
oct255122323370
965881486200
1023241271032
119947100a11
124607555760
1322650666a5
1411a6974d60
159105bc7dc
hex56949a6f8

23241271032 has 160 divisors (see below), whose sum is σ = 75658492800. Its totient is φ = 6527739456.

The previous prime is 23241271021. The next prime is 23241271033. The reversal of 23241271032 is 23017214232.

23241271032 is a `hidden beast` number, since 232 + 412 + 7 + 10 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 23241270987 and 23241271005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23241271033) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 224203 + ... + 311045.

It is an arithmetic number, because the mean of its divisors is an integer number (472865580).

Almost surely, 223241271032 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 23241271032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37829246400).

23241271032 is an abundant number, since it is smaller than the sum of its proper divisors (52417221768).

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

23241271032 is a wasteful number, since it uses less digits than its factorization.

23241271032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86927 (or 86914 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

Adding to 23241271032 its reverse (23017214232), we get a palindrome (46258485264).

The spelling of 23241271032 in words is "twenty-three billion, two hundred forty-one million, two hundred seventy-one thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 59 63 72 81 84 108 118 126 162 168 177 189 216 236 252 324 354 378 413 472 504 531 567 648 708 756 826 1062 1134 1239 1416 1512 1593 1652 2124 2268 2478 3186 3304 3717 4248 4536 4779 4956 6372 7434 9558 9912 11151 12744 14868 19116 22302 29736 33453 38232 44604 66906 86843 89208 133812 173686 260529 267624 347372 521058 607901 694744 781587 1042116 1215802 1563174 1823703 2084232 2344761 2431604 3126348 3647406 4689522 4863208 5123737 5471109 6252696 7034283 7294812 9379044 10247474 10942218 14068566 14589624 15371211 16413327 18758088 20494948 21884436 28137132 30742422 32826654 35866159 40989896 43768872 46113633 49239981 56274264 61484844 65653308 71732318 92227266 98479962 107598477 122969688 131306616 138340899 143464636 184454532 196959924 215196954 276681798 286929272 322795431 368909064 393919848 415022697 430393908 553363596 645590862 830045394 860787816 968386293 1106727192 1291181724 1660090788 1936772586 2582363448 2905158879 3320181576 3873545172 5810317758 7747090344 11620635516 23241271032