Search a number
-
+
232530515001520 = 24524143127983089
BaseRepresentation
bin110100110111110000111010…
…101111110000000010110000
31010111022200220101202001220121
4310313300322233300002300
5220434234443320022040
62142315013251220024
766656526634434451
oct6467607257600260
91114280811661817
10232530515001520
11681007017299aa
12220b5b7aba7614
139c996c2080678
14415c77366b128
151bd39bb8d0c4a
hexd37c3abf00b0

232530515001520 has 80 divisors (see below), whose sum is σ = 544136333938560. Its totient is φ = 92411349811200.

The previous prime is 232530515001509. The next prime is 232530515001569. The reversal of 232530515001520 is 25100515035232.

232530515001520 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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5681865 + ... + 22301224.

It is an arithmetic number, because the mean of its divisors is an integer number (6801704174232).

Almost surely, 2232530515001520 is an apocalyptic number.

232530515001520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232530515001520 is an abundant number, since it is smaller than the sum of its proper divisors (311605818937040).

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

232530515001520 is a wasteful number, since it uses less digits than its factorization.

232530515001520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27983774 (or 27983768 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 34.

The spelling of 232530515001520 in words is "two hundred thirty-two trillion, five hundred thirty billion, five hundred fifteen million, one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 241 431 482 862 964 1205 1724 1928 2155 2410 3448 3856 4310 4820 6896 8620 9640 17240 19280 34480 103871 207742 415484 519355 830968 1038710 1661936 2077420 4154840 8309680 27983089 55966178 111932356 139915445 223864712 279830890 447729424 559661780 1119323560 2238647120 6743924449 12060711359 13487848898 24121422718 26975697796 33719622245 48242845436 53951395592 60303556795 67439244490 96485690872 107902791184 120607113590 134878488980 192971381744 241214227180 269756977960 482428454360 539513955920 964856908720 2906631437519 5813262875038 11626525750076 14533157187595 23253051500152 29066314375190 46506103000304 58132628750380 116265257500760 232530515001520