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23112096 = 2537163211
BaseRepresentation
bin101100000101…
…0100110100000
31121111012211120
41120022212200
521404041341
62143212240
7400310130
oct130124640
947435746
1023112096
1112056507
1278a7080
134a32ac7
1430d8ac0
152068066
hex160a9a0

23112096 has 96 divisors (see below), whose sum is σ = 70092288. Its totient is φ = 6531840.

The previous prime is 23112083. The next prime is 23112121. The reversal of 23112096 is 69021132.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109431 + ... + 109641.

It is an arithmetic number, because the mean of its divisors is an integer number (730128).

Almost surely, 223112096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23112096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35046144).

23112096 is an abundant number, since it is smaller than the sum of its proper divisors (46980192).

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

23112096 is a wasteful number, since it uses less digits than its factorization.

23112096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 23112096 is about 4807.5041341636. The cubic root of 23112096 is about 284.8479583000.

The spelling of 23112096 in words is "twenty-three million, one hundred twelve thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 163 168 211 224 326 336 422 489 633 652 672 844 978 1141 1266 1304 1477 1688 1956 2282 2532 2608 2954 3376 3423 3912 4431 4564 5064 5216 5908 6752 6846 7824 8862 9128 10128 11816 13692 15648 17724 18256 20256 23632 27384 34393 35448 36512 47264 54768 68786 70896 103179 109536 137572 141792 206358 240751 275144 412716 481502 550288 722253 825432 963004 1100576 1444506 1650864 1926008 2889012 3301728 3852016 5778024 7704032 11556048 23112096