Base | Representation |
---|---|
bin | 101100001100… |
… | …1010010000000 |
3 | 1121121021022112 |
4 | 1120121102000 |
5 | 21413002344 |
6 | 2144354452 |
7 | 400650335 |
oct | 130312200 |
9 | 47537275 |
10 | 23172224 |
11 | 120976a9 |
12 | 7915a28 |
13 | 4a5429a |
14 | 311298c |
15 | 207ac9e |
hex | 1619480 |
23172224 has 64 divisors (see below), whose sum is σ = 51114240. Its totient is φ = 10407936.
The previous prime is 23172223. The next prime is 23172239. The reversal of 23172224 is 42227132.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (64).
It is a Harshad number since it is a multiple of its sum of digits (23).
It is a self number, because there is not a number n which added to its sum of digits gives 23172224.
It is not an unprimeable number, because it can be changed into a prime (23172223) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49817 + ... + 50279.
It is an arithmetic number, because the mean of its divisors is an integer number (798660).
Almost surely, 223172224 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 23172224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25557120).
23172224 is an abundant number, since it is smaller than the sum of its proper divisors (27942016).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23172224 is a wasteful number, since it uses less digits than its factorization.
23172224 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 517 (or 505 counting only the distinct ones).
The product of its digits is 1344, while the sum is 23.
The square root of 23172224 is about 4813.7536289262. The cubic root of 23172224 is about 285.0947627835.
Adding to 23172224 its reverse (42227132), we get a palindrome (65399356).
The spelling of 23172224 in words is "twenty-three million, one hundred seventy-two thousand, two hundred twenty-four".
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