Search a number
-
+
223232231112 = 233112138155663
BaseRepresentation
bin1100111111100110101…
…1011000011011001000
3210100012102211022021120
43033321223120123020
512124134422343422
6250315041235240
722061621441142
oct3177153303310
9710172738246
10223232231112
1186743858300
1237320032b20
131808753bca7
14ab39781c92
155c17d5845c
hex33f9ad86c8

223232231112 has 96 divisors (see below), whose sum is σ = 613882631040. Its totient is φ = 67595932800.

The previous prime is 223232231111. The next prime is 223232231141. The reversal of 223232231112 is 211132232322.

223232231112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2232322311123 (a number of 35 digits) contains 333 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (223232231111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3982593 + ... + 4038255.

It is an arithmetic number, because the mean of its divisors is an integer number (6394610740).

Almost surely, 2223232231112 is an apocalyptic number.

223232231112 is a gapful number since it is divisible by the number (22) 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 223232231112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306941315520).

223232231112 is an abundant number, since it is smaller than the sum of its proper divisors (390650399928).

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

223232231112 is a wasteful number, since it uses less digits than its factorization.

223232231112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57075 (or 57060 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

Adding to 223232231112 its reverse (211132232322), we get a palindrome (434364463434).

The spelling of 223232231112 in words is "two hundred twenty-three billion, two hundred thirty-two million, two hundred thirty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 242 264 363 484 726 968 1381 1452 2762 2904 4143 5524 8286 11048 15191 16572 30382 33144 45573 55663 60764 91146 111326 121528 166989 167101 182292 222652 333978 334202 364584 445304 501303 612293 667956 668404 1002606 1224586 1335912 1336808 1836879 2005212 2449172 3673758 4010424 4898344 6735223 7347516 13470446 14695032 20205669 26940892 40411338 53881784 76870603 80822676 153741206 161645352 230611809 307482412 461223618 614964824 845576633 922447236 1691153266 1844894472 2536729899 3382306532 5073459798 6764613064 9301342963 10146919596 18602685926 20293839192 27904028889 37205371852 55808057778 74410743704 111616115556 223232231112