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232333004112 = 243112192105381
BaseRepresentation
bin1101100001100000100…
…0000100110101010000
3211012200200112110212020
43120120020010311100
512301304222112422
6254422102331440
722533266644056
oct3303010046520
9735620473766
10232333004112
118a593a18800
123903ba29b80
1318ba7b43881
14b36030a1d6
15609bcdd95c
hex3618204d50

232333004112 has 120 divisors (see below), whose sum is σ = 694439198880. Its totient is φ = 66698438400.

The previous prime is 232333004107. The next prime is 232333004161. The reversal of 232333004112 is 211400333232.

232333004112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 942339 + ... + 1163042.

It is an arithmetic number, because the mean of its divisors is an integer number (5786993324).

Almost surely, 2232333004112 is an apocalyptic number.

232333004112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

232333004112 is an abundant number, since it is smaller than the sum of its proper divisors (462106194768).

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

232333004112 is a wasteful number, since it uses less digits than its factorization.

232333004112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2105433 (or 2105416 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 232333004112 its reverse (211400333232), we get a palindrome (443733337344).

The spelling of 232333004112 in words is "two hundred thirty-two billion, three hundred thirty-three million, four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 33 38 44 48 57 66 76 88 114 121 132 152 176 209 228 242 264 304 363 418 456 484 528 627 726 836 912 968 1254 1452 1672 1936 2299 2508 2904 3344 4598 5016 5808 6897 9196 10032 13794 18392 27588 36784 55176 110352 2105381 4210762 6316143 8421524 12632286 16843048 23159191 25264572 33686096 40002239 46318382 50529144 69477573 80004478 92636764 101058288 120006717 138955146 160008956 185273528 240013434 254751101 277910292 320017912 370547056 440024629 480026868 509502202 555820584 640035824 764253303 880049258 960053736 1019004404 1111641168 1320073887 1528506606 1760098516 1920107472 2038008808 2640147774 3057013212 3520197032 4076017616 4840270919 5280295548 6114026424 7040394064 9680541838 10560591096 12228052848 14520812757 19361083676 21121182192 29041625514 38722167352 58083251028 77444334704 116166502056 232333004112