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234105523000 = 23532397104933
BaseRepresentation
bin1101101000000111000…
…1101100101100111000
3211101021012211202122221
43122001301230230320
512313422003214000
6255314021453424
722625232053446
oct3320161545470
9741235752587
10234105523000
1190313512448
1239455571274
13190cb13130b
14b48b8abb96
15615271961a
hex3681c6cb38

234105523000 has 128 divisors (see below), whose sum is σ = 577523157120. Its totient is φ = 88646553600.

The previous prime is 234105522997. The next prime is 234105523013. The reversal of 234105523000 is 325501432.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 2178534 + ... + 2283466.

It is an arithmetic number, because the mean of its divisors is an integer number (4511899665).

Almost surely, 2234105523000 is an apocalyptic number.

234105523000 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 234105523000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288761578560).

234105523000 is an abundant number, since it is smaller than the sum of its proper divisors (343417634120).

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

234105523000 is a wasteful number, since it uses less digits than its factorization.

234105523000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105074 (or 105060 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The spelling of 234105523000 in words is "two hundred thirty-four billion, one hundred five million, five hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 97 100 115 125 184 194 200 230 250 388 460 485 500 575 776 920 970 1000 1150 1940 2231 2300 2425 2875 3880 4462 4600 4850 5750 8924 9700 11155 11500 12125 17848 19400 22310 23000 24250 44620 48500 55775 89240 97000 104933 111550 209866 223100 278875 419732 446200 524665 557750 839464 1049330 1115500 2098660 2231000 2413459 2623325 4197320 4826918 5246650 9653836 10178501 10493300 12067295 13116625 19307672 20357002 20986600 24134590 26233250 40714004 48269180 50892505 52466500 60336475 81428008 96538360 101785010 104933000 120672950 203570020 234105523 241345900 254462525 301682375 407140040 468211046 482691800 508925050 603364750 936422092 1017850100 1170527615 1206729500 1272312625 1872844184 2035700200 2341055230 2413459000 2544625250 4682110460 5089250500 5852638075 9364220920 10178501000 11705276150 23410552300 29263190375 46821104600 58526380750 117052761500 234105523000