Base | Representation |
---|---|
bin | 100110100100… |
… | …1101101000000 |
3 | 1102001112020212 |
4 | 1031021231000 |
5 | 20134143312 |
6 | 2001253252 |
7 | 333623345 |
oct | 115115500 |
9 | 42045225 |
10 | 20224832 |
11 | 10464241 |
12 | 6934228 |
13 | 4261874 |
14 | 29867cc |
15 | 1b97822 |
hex | 1349b40 |
20224832 has 56 divisors (see below), whose sum is σ = 44028360. Its totient is φ = 9175040.
The previous prime is 20224823. The next prime is 20224837. The reversal of 20224832 is 23842202.
It can be written as a sum of positive squares in 4 ways, for example, as 10137856 + 10086976 = 3184^2 + 3176^2 .
It is a junction number, because it is equal to n+sod(n) for n = 20224798 and 20224807.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (20224837) 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, 31232 + ... + 31872.
Almost surely, 220224832 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 20224832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22014180).
20224832 is an abundant number, since it is smaller than the sum of its proper divisors (23803528).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
20224832 is a wasteful number, since it uses less digits than its factorization.
20224832 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 699 (or 689 counting only the distinct ones).
The product of its (nonzero) digits is 1536, while the sum is 23.
The square root of 20224832 is about 4497.2026861150. The cubic root of 20224832 is about 272.4551204040.
It can be divided in two parts, 202248 and 32, that multiplied together give a square (6471936 = 25442).
The spelling of 20224832 in words is "twenty million, two hundred twenty-four thousand, eight hundred thirty-two".
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