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231813054 = 2321117611129
BaseRepresentation
bin11011101000100…
…10111110111110
3121011012022201200
431310102332332
5433321004204
635000320330
75513243544
oct1564227676
9534168650
10231813054
11109941640
12657730a6
13390455b5
1422b03d94
1515540539
hexdd12fbe

231813054 has 96 divisors (see below), whose sum is σ = 590185440. Its totient is φ = 64972800.

The previous prime is 231813047. The next prime is 231813077. The reversal of 231813054 is 450318132.

It is a happy number.

231813054 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 204762 + ... + 205890.

It is an arithmetic number, because the mean of its divisors is an integer number (6147765).

Almost surely, 2231813054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231813054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295092720).

231813054 is an abundant number, since it is smaller than the sum of its proper divisors (358372386).

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

231813054 is a wasteful number, since it uses less digits than its factorization.

231813054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1226 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 231813054 is about 15225.4081718685. The cubic root of 231813054 is about 614.2982755731.

The spelling of 231813054 in words is "two hundred thirty-one million, eight hundred thirteen thousand, fifty-four".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 61 66 99 102 122 153 183 187 198 306 366 374 549 561 671 1037 1098 1122 1129 1342 1683 2013 2074 2258 3111 3366 3387 4026 6039 6222 6774 9333 10161 11407 12078 12419 18666 19193 20322 22814 24838 34221 37257 38386 57579 68442 68869 74514 102663 111771 115158 137738 172737 205326 206607 211123 223542 345474 413214 422246 619821 633369 757559 1170773 1239642 1266738 1515118 1900107 2272677 2341546 3512319 3800214 4545354 6818031 7024638 10536957 12878503 13636062 21073914 25757006 38635509 77271018 115906527 231813054