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232234144451000 = 23534322692380253
BaseRepresentation
bin110100110011011100111001…
…101011110100100110111000
31010110021100220211021011212022
4310303130321223310212320
5220414411011434413000
62141530520525534012
766626235410350346
oct6463347153644670
91113240824234768
10232234144451000
1167aa6a4723582a
1222068649114308
139c77780173403
14414c29a582996
151bcae22b9e585
hexd33739af49b8

232234144451000 has 128 divisors (see below), whose sum is σ = 556311060676800. Its totient is φ = 90693313804800.

The previous prime is 232234144450981. The next prime is 232234144451077. The reversal of 232234144451000 is 154441432232.

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, 96376874 + ... + 98757126.

Almost surely, 2232234144451000 is an apocalyptic number.

232234144451000 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 232234144451000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278155530338400).

232234144451000 is an abundant number, since it is smaller than the sum of its proper divisors (324076916225800).

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

232234144451000 is a wasteful number, since it uses less digits than its factorization.

232234144451000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2382586 (or 2382572 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 35.

Adding to 232234144451000 its reverse (154441432232), we get a palindrome (232388585883232).

The spelling of 232234144451000 in words is "two hundred thirty-two trillion, two hundred thirty-four billion, one hundred forty-four million, four hundred fifty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 125 172 200 215 250 344 430 500 860 1000 1075 1720 2150 2269 4300 4538 5375 8600 9076 10750 11345 18152 21500 22690 43000 45380 56725 90760 97567 113450 195134 226900 283625 390268 453800 487835 567250 780536 975670 1134500 1951340 2269000 2380253 2439175 3902680 4760506 4878350 9521012 9756700 11901265 12195875 19042024 19513400 23802530 24391750 47605060 48783500 59506325 95210120 97567000 102350879 119012650 204701758 238025300 297531625 409403516 476050600 511754395 595063250 818807032 1023508790 1190126500 2047017580 2380253000 2558771975 4094035160 5117543950 5400794057 10235087900 10801588114 12793859875 20470175800 21603176228 25587719750 27003970285 43206352456 51175439500 54007940570 102350879000 108015881140 135019851425 216031762280 232234144451 270039702850 464468288902 540079405700 675099257125 928936577804 1080158811400 1161170722255 1350198514250 1857873155608 2322341444510 2700397028500 4644682889020 5400794057000 5805853611275 9289365778040 11611707222550 23223414445100 29029268056375 46446828890200 58058536112750 116117072225500 232234144451000