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232230112000 = 285312775683
BaseRepresentation
bin1101100001000111111…
…1100100101100000000
3211012102111221000102021
43120101333210230000
512301101402041000
6254403545131224
722530610245055
oct3302177445400
9735374830367
10232230112000
118a5409313a7
1239011489b14
1318b8c729873
14b3507a502c
156092c6711a
hex3611fe4b00

232230112000 has 144 divisors (see below), whose sum is σ = 579069140832. Its totient is φ = 92802969600.

The previous prime is 232230111983. The next prime is 232230112001. The reversal of 232230112000 is 211032232.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (232230112001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40861159 + ... + 40866841.

It is an arithmetic number, because the mean of its divisors is an integer number (4021313478).

Almost surely, 2232230112000 is an apocalyptic number.

232230112000 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 232230112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289534570416).

232230112000 is an abundant number, since it is smaller than the sum of its proper divisors (346839028832).

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

232230112000 is an equidigital number, since it uses as much as digits as its factorization.

232230112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6991 (or 6967 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 232230112000 its reverse (211032232), we get a palindrome (232441144232).

The spelling of 232230112000 in words is "two hundred thirty-two billion, two hundred thirty million, one hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 640 800 1000 1277 1280 1600 2000 2554 3200 4000 5108 5683 6385 6400 8000 10216 11366 12770 16000 20432 22732 25540 28415 31925 32000 40864 45464 51080 56830 63850 81728 90928 102160 113660 127700 142075 159625 163456 181856 204320 227320 255400 284150 319250 326912 363712 408640 454640 510800 568300 638500 710375 727424 817280 909280 1021600 1136600 1277000 1420750 1454848 1634560 1818560 2043200 2273200 2554000 2841500 3637120 4086400 4546400 5108000 5683000 7257191 7274240 8172800 9092800 10216000 11366000 14514382 18185600 20432000 22732000 29028764 36285955 36371200 40864000 45464000 58057528 72571910 90928000 116115056 145143820 181429775 181856000 232230112 290287640 362859550 464460224 580575280 725719100 907148875 928920448 1161150560 1451438200 1814297750 1857840896 2322301120 2902876400 3628595500 4644602240 5805752800 7257191000 9289204480 11611505600 14514382000 23223011200 29028764000 46446022400 58057528000 116115056000 232230112000