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23191168 = 2771113181
BaseRepresentation
bin101100001110…
…1111010000000
31121122020022011
41120131322000
521414104133
62145022304
7401056510
oct130357200
947566264
1023191168
11120aa960
127924994
134a5cab0
143119840
1520816cd
hex161de80

23191168 has 128 divisors (see below), whose sum is σ = 62375040. Its totient is φ = 8294400.

The previous prime is 23191139. The next prime is 23191187. The reversal of 23191168 is 86119132.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128038 + ... + 128218.

It is an arithmetic number, because the mean of its divisors is an integer number (487305).

Almost surely, 223191168 is an apocalyptic number.

23191168 is a gapful number since it is divisible by the number (28) 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 23191168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31187520).

23191168 is an abundant number, since it is smaller than the sum of its proper divisors (39183872).

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

23191168 is a wasteful number, since it uses less digits than its factorization.

23191168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 214 counting only the distinct ones).

The product of its digits is 2592, while the sum is 31.

The square root of 23191168 is about 4815.7209221465. The cubic root of 23191168 is about 285.1724328433.

It can be divided in two parts, 23 and 191168, that added together give a palindrome (191191).

The spelling of 23191168 in words is "twenty-three million, one hundred ninety-one thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 32 44 52 56 64 77 88 91 104 112 128 143 154 176 181 182 208 224 286 308 352 362 364 416 448 572 616 704 724 728 832 896 1001 1144 1232 1267 1408 1448 1456 1664 1991 2002 2288 2353 2464 2534 2896 2912 3982 4004 4576 4706 4928 5068 5792 5824 7964 8008 9152 9412 9856 10136 11584 11648 13937 15928 16016 16471 18304 18824 20272 23168 25883 27874 31856 32032 32942 37648 40544 51766 55748 63712 64064 65884 75296 81088 103532 111496 127424 128128 131768 150592 162176 181181 207064 222992 254848 263536 301184 362362 414128 445984 527072 724724 828256 891968 1054144 1449448 1656512 1783936 2108288 2898896 3313024 5797792 11595584 23191168