Base | Representation |
---|---|
bin | 11010111110011… |
… | …11011111100100 |
3 | 120202210220122100 |
4 | 31133033133210 |
5 | 430412344412 |
6 | 34242132100 |
7 | 5415315330 |
oct | 1537173744 |
9 | 522726570 |
10 | 226293732 |
11 | 106811915 |
12 | 63951030 |
13 | 37b62322 |
14 | 220a87c0 |
15 | 14ceeedc |
hex | d7cf7e4 |
226293732 has 144 divisors (see below), whose sum is σ = 700382592. Its totient is φ = 60134400.
The previous prime is 226293721. The next prime is 226293737. The reversal of 226293732 is 237392622.
226293732 is a `hidden beast` number, since 22 + 629 + 3 + 7 + 3 + 2 = 666.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is not an unprimeable number, because it can be changed into a prime (226293737) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 432423 + ... + 432945.
It is an arithmetic number, because the mean of its divisors is an integer number (4863768).
Almost surely, 2226293732 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 226293732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350191296).
226293732 is an abundant number, since it is smaller than the sum of its proper divisors (474088860).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
226293732 is a wasteful number, since it uses less digits than its factorization.
226293732 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 658 (or 653 counting only the distinct ones).
The product of its digits is 54432, while the sum is 36.
The square root of 226293732 is about 15043.0625871197. The cubic root of 226293732 is about 609.3837115283.
The spelling of 226293732 in words is "two hundred twenty-six million, two hundred ninety-three thousand, seven hundred thirty-two".
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