Search a number
-
+
231545355212240 = 24535171687148779
BaseRepresentation
bin110100101001011011011010…
…101001011001010111010000
31010100211112000220210110102122
4310221123122221121113100
5220322114341413242430
62140242245010033412
766525412516414046
oct6451333251312720
91110745026713378
10231545355212240
1167860919707a73
1221b7705ab78868
139c278304b5304
144126bd8132396
151bb805ce18ee5
hexd296daa595d0

231545355212240 has 80 divisors (see below), whose sum is σ = 538538978263680. Its totient is φ = 92584421368320.

The previous prime is 231545355212233. The next prime is 231545355212243. The reversal of 231545355212240 is 42212553545132.

231545355212240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2315453552122402 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 231545355212191 and 231545355212200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231545355212243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4746800171 + ... + 4746848949.

It is an arithmetic number, because the mean of its divisors is an integer number (6731737228296).

Almost surely, 2231545355212240 is an apocalyptic number.

231545355212240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

231545355212240 is an abundant number, since it is smaller than the sum of its proper divisors (306993623051440).

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

231545355212240 is a wasteful number, since it uses less digits than its factorization.

231545355212240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69180 (or 69174 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 44.

The spelling of 231545355212240 in words is "two hundred thirty-one trillion, five hundred forty-five billion, three hundred fifty-five million, two hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 3517 7034 14068 16871 17585 28136 33742 35170 48779 56272 67484 70340 84355 97558 134968 140680 168710 195116 243895 269936 281360 337420 390232 487790 674840 780464 975580 1349680 1951160 3902320 59335307 118670614 171555743 237341228 296676535 343111486 474682456 593353070 686222972 822950509 857778715 949364912 1186706140 1372445944 1645901018 1715557430 2373412280 2744891888 3291802036 3431114860 4114752545 4746824560 6583604072 6862229720 8229505090 13167208144 13724459440 16459010180 32918020360 65836040720 2894316940153 5788633880306 11577267760612 14471584700765 23154535521224 28943169401530 46309071042448 57886338803060 115772677606120 231545355212240