Base | Representation |
---|---|
bin | 101100010011… |
… | …1001001100000 |
3 | 1121201011020020 |
4 | 1120213021200 |
5 | 21421312044 |
6 | 2145513440 |
7 | 401305050 |
oct | 130471140 |
9 | 47634206 |
10 | 23229024 |
11 | 12126345 |
12 | 7942880 |
13 | 4a740b0 |
14 | 3129560 |
15 | 208ca19 |
hex | 1627260 |
23229024 has 96 divisors (see below), whose sum is σ = 75075840. Its totient is φ = 6124032.
The previous prime is 23229023. The next prime is 23229049. The reversal of 23229024 is 42092232.
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 a junction number, because it is equal to n+sod(n) for n = 23228985 and 23229003.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (23229023) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7407 + ... + 10065.
It is an arithmetic number, because the mean of its divisors is an integer number (782040).
Almost surely, 223229024 is an apocalyptic number.
23229024 is a gapful number since it is divisible by the number (24) 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 23229024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37537920).
23229024 is an abundant number, since it is smaller than the sum of its proper divisors (51846816).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23229024 is a wasteful number, since it uses less digits than its factorization.
23229024 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2692 (or 2684 counting only the distinct ones).
The product of its (nonzero) digits is 1728, while the sum is 24.
The square root of 23229024 is about 4819.6497798077. The cubic root of 23229024 is about 285.3275151423.
The spelling of 23229024 in words is "twenty-three million, two hundred twenty-nine thousand, twenty-four".
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