Base | Representation |
---|---|
bin | 101110001101… |
… | …0010100001000 |
3 | 1200120202111102 |
4 | 1130122110020 |
5 | 22200200112 |
6 | 2223120532 |
7 | 412623626 |
oct | 134322410 |
9 | 50522442 |
10 | 24225032 |
11 | 12746697 |
12 | 8143148 |
13 | 5032550 |
14 | 3308516 |
15 | 21d7bc2 |
hex | 171a508 |
24225032 has 32 divisors (see below), whose sum is σ = 49387800. Its totient is φ = 11073024.
The previous prime is 24225031. The next prime is 24225037. The reversal of 24225032 is 23052242.
It can be written as a sum of positive squares in 4 ways, for example, as 12432676 + 11792356 = 3526^2 + 3434^2 .
It is a junction number, because it is equal to n+sod(n) for n = 24224995 and 24225013.
It is not an unprimeable number, because it can be changed into a prime (24225031) 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, 10268 + ... + 12404.
Almost surely, 224225032 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 24225032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24693900).
24225032 is an abundant number, since it is smaller than the sum of its proper divisors (25162768).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
24225032 is a wasteful number, since it uses less digits than its factorization.
24225032 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2265 (or 2261 counting only the distinct ones).
The product of its (nonzero) digits is 960, while the sum is 20.
The square root of 24225032 is about 4921.8931317126. The cubic root of 24225032 is about 289.3486451343.
Adding to 24225032 its reverse (23052242), we get a palindrome (47277274).
The spelling of 24225032 in words is "twenty-four million, two hundred twenty-five thousand, thirty-two".
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