Search a number
-
+
230054267323160 = 23578349057201787
BaseRepresentation
bin110100010011101110101110…
…111000100000001100011000
31010011112222021102212110120022
4310103232232320200030120
5220123202114413320120
62133141245453450012
766312605130445130
oct6423565670401430
91104488242773508
10230054267323160
1167336515446505
12219760847a0908
139b4a041588b27
1440b498635dac0
151b8e38d18a025
hexd13baee20318

230054267323160 has 128 divisors (see below), whose sum is σ = 598710613777920. Its totient is φ = 77923463933952.

The previous prime is 230054267323109. The next prime is 230054267323187. The reversal of 230054267323160 is 61323762450032.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1139983787 + ... + 1140185573.

It is an arithmetic number, because the mean of its divisors is an integer number (4677426670140).

Almost surely, 2230054267323160 is an apocalyptic number.

230054267323160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230054267323160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299355306888960).

230054267323160 is an abundant number, since it is smaller than the sum of its proper divisors (368656346454760).

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

230054267323160 is a wasteful number, since it uses less digits than its factorization.

230054267323160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250945 (or 250941 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 44.

The spelling of 230054267323160 in words is "two hundred thirty trillion, fifty-four billion, two hundred sixty-seven million, three hundred twenty-three thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 83 140 166 280 332 415 581 664 830 1162 1660 2324 2905 3320 4648 5810 11620 23240 49057 98114 196228 201787 245285 343399 392456 403574 490570 686798 807148 981140 1008935 1373596 1412509 1614296 1716995 1962280 2017870 2747192 2825018 3433990 4035740 4071731 5650036 6867980 7062545 8071480 8143462 11300072 13735960 14125090 16286924 16748321 20358655 28250180 28502117 32573848 33496642 40717310 56500360 57004234 66993284 81434620 83741605 114008468 117238247 133986568 142510585 162869240 167483210 228016936 234476494 285021170 334966420 468952988 570042340 586191235 669932840 937905976 1140084680 1172382470 2344764940 4689529880 9899064859 19798129718 39596259436 49495324295 69293454013 79192518872 98990648590 138586908026 197981297180 277173816052 346467270065 395962594360 554347632104 692934540130 821622383297 1385869080260 1643244766594 2771738160520 3286489533188 4108111916485 5751356683079 6572979066376 8216223832970 11502713366158 16432447665940 23005426732316 28756783415395 32864895331880 46010853464632 57513566830790 115027133661580 230054267323160