Base | Representation |
---|---|
bin | 101100010011… |
… | …1001000000000 |
3 | 1121201011002200 |
4 | 1120213020000 |
5 | 21421311203 |
6 | 2145513200 |
7 | 401304552 |
oct | 130471000 |
9 | 47634080 |
10 | 23228928 |
11 | 12126268 |
12 | 7942800 |
13 | 4a74038 |
14 | 31294d2 |
15 | 208c9a3 |
hex | 1627200 |
23228928 has 90 divisors (see below), whose sum is σ = 67997787. Its totient is φ = 7633920.
The previous prime is 23228927. The next prime is 23228939. The reversal of 23228928 is 82982232.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It can be written as a sum of positive squares in only one way, i.e., 11614464 + 11614464 = 3408^2 + 3408^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=3408.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 23228892 and 23228901.
It is not an unprimeable number, because it can be changed into a prime (23228921) by changing a digit.
It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 327133 + ... + 327203.
Almost surely, 223228928 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 23228928
23228928 is an abundant number, since it is smaller than the sum of its proper divisors (44768859).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23228928 is an frugal number, since it uses more digits than its factorization.
23228928 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 166 (or 76 counting only the distinct ones).
The product of its digits is 27648, while the sum is 36.
The square root of 23228928 is about 4819.6398205675. The cubic root of 23228928 is about 285.3271220783.
The spelling of 23228928 in words is "twenty-three million, two hundred twenty-eight thousand, nine hundred twenty-eight".
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