Base | Representation |
---|---|
bin | 1000101011101… |
… | …0001100010000 |
3 | 2112112000220222 |
4 | 2022322030100 |
5 | 33310223344 |
6 | 3340252212 |
7 | 621341630 |
oct | 212721420 |
9 | 75460828 |
10 | 36414224 |
11 | 19611600 |
12 | 10241068 |
13 | 770c6a2 |
14 | 4b9c6c0 |
15 | 32e45ee |
hex | 22ba310 |
36414224 has 60 divisors (see below), whose sum is σ = 88660992. Its totient is φ = 14182080.
The previous prime is 36414223. The next prime is 36414229. The reversal of 36414224 is 42241463.
It is a junction number, because it is equal to n+sod(n) for n = 36414193 and 36414202.
It is not an unprimeable number, because it can be changed into a prime (36414223) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12209 + ... + 14895.
Almost surely, 236414224 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 36414224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44330496).
36414224 is an abundant number, since it is smaller than the sum of its proper divisors (52246768).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
36414224 is a wasteful number, since it uses less digits than its factorization.
36414224 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2724 (or 2707 counting only the distinct ones).
The product of its digits is 4608, while the sum is 26.
The square root of 36414224 is about 6034.4199389834. The cubic root of 36414224 is about 331.4543220749.
Adding to 36414224 its reverse (42241463), we get a palindrome (78655687).
It can be divided in two parts, 36414 and 224, that multiplied together give a square (8156736 = 28562).
The spelling of 36414224 in words is "thirty-six million, four hundred fourteen thousand, two hundred twenty-four".
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