Base | Representation |
---|---|
bin | 101100010010… |
… | …1101011101100 |
3 | 1121200211222212 |
4 | 1120211223230 |
5 | 21421114040 |
6 | 2145425552 |
7 | 401251412 |
oct | 130455354 |
9 | 47624885 |
10 | 23223020 |
11 | 12121887 |
12 | 793b2b8 |
13 | 4a71442 |
14 | 31272b2 |
15 | 208ad65 |
hex | 1625aec |
23223020 has 48 divisors (see below), whose sum is σ = 52073280. Its totient is φ = 8669184.
The previous prime is 23223017. The next prime is 23223041. The reversal of 23223020 is 2032232.
It is a junction number, because it is equal to n+sod(n) for n = 23222986 and 23223004.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56576 + ... + 56984.
It is an arithmetic number, because the mean of its divisors is an integer number (1084860).
Almost surely, 223223020 is an apocalyptic number.
23223020 is a gapful number since it is divisible by the number (20) 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 23223020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26036640).
23223020 is an abundant number, since it is smaller than the sum of its proper divisors (28850260).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23223020 is a wasteful number, since it uses less digits than its factorization.
23223020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 602 (or 600 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 14.
The square root of 23223020 is about 4819.0268727203. The cubic root of 23223020 is about 285.3029301803.
Adding to 23223020 its reverse (2032232), we get a palindrome (25255252).
The spelling of 23223020 in words is "twenty-three million, two hundred twenty-three thousand, twenty".
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