Base | Representation |
---|---|
bin | 101100001011… |
… | …1111001000000 |
3 | 1121120222111120 |
4 | 1120113321000 |
5 | 21412312103 |
6 | 2144312240 |
7 | 400624620 |
oct | 130277100 |
9 | 47528446 |
10 | 23166528 |
11 | 120933a0 |
12 | 7912680 |
13 | 4a51808 |
14 | 3110880 |
15 | 2079253 |
hex | 1617e40 |
23166528 has 112 divisors (see below), whose sum is σ = 76468224. Its totient is φ = 6013440.
The previous prime is 23166503. The next prime is 23166541. The reversal of 23166528 is 82566132.
It is a tau number, because it is divible by the number of its divisors (112).
It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (33).
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, 14001 + ... + 15567.
It is an arithmetic number, because the mean of its divisors is an integer number (682752).
Almost surely, 223166528 is an apocalyptic number.
23166528 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 23166528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38234112).
23166528 is an abundant number, since it is smaller than the sum of its proper divisors (53301696).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23166528 is a wasteful number, since it uses less digits than its factorization.
23166528 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1600 (or 1590 counting only the distinct ones).
The product of its digits is 17280, while the sum is 33.
The square root of 23166528 is about 4813.1619544744. The cubic root of 23166528 is about 285.0714010085.
The spelling of 23166528 in words is "twenty-three million, one hundred sixty-six thousand, five hundred twenty-eight".
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