Base | Representation |
---|---|
bin | 101100010010… |
… | …1000001000000 |
3 | 1121200201020200 |
4 | 1120211001000 |
5 | 21421022123 |
6 | 2145405200 |
7 | 401240430 |
oct | 130450100 |
9 | 47621220 |
10 | 23220288 |
11 | 1211a823 |
12 | 7939800 |
13 | 4a70120 |
14 | 31262c0 |
15 | 208a143 |
hex | 1625040 |
23220288 has 168 divisors, whose sum is σ = 82100928. Its totient is φ = 6110208.
The previous prime is 23220287. The next prime is 23220289. The reversal of 23220288 is 88202232.
It is an interprime number because it is at equal distance from previous prime (23220287) and next prime (23220289).
It is a tau number, because it is divible by the number of its divisors (168).
It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.
It is not an unprimeable number, because it can be changed into a prime (23220287) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52195 + ... + 52637.
It is an arithmetic number, because the mean of its divisors is an integer number (488696).
Almost surely, 223220288 is an apocalyptic number.
23220288 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 23220288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41050464).
23220288 is an abundant number, since it is smaller than the sum of its proper divisors (58880640).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23220288 is a wasteful number, since it uses less digits than its factorization.
23220288 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 481 (or 468 counting only the distinct ones).
The product of its (nonzero) digits is 3072, while the sum is 27.
The square root of 23220288 is about 4818.7434046647. The cubic root of 23220288 is about 285.2917418827.
The spelling of 23220288 in words is "twenty-three million, two hundred twenty thousand, two hundred eighty-eight".
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