Base | Representation |
---|---|
bin | 11011000001101… |
… | …10100110010000 |
3 | 120210121100221200 |
4 | 31200312212100 |
5 | 431014403143 |
6 | 34255151200 |
7 | 5422024506 |
oct | 1540664620 |
9 | 523540850 |
10 | 226716048 |
11 | 106a80139 |
12 | 63b15500 |
13 | 37c7c610 |
14 | 22178676 |
15 | 14d851d3 |
hex | d836990 |
226716048 has 120 divisors (see below), whose sum is σ = 688414272. Its totient is φ = 69237504.
The previous prime is 226716047. The next prime is 226716053. The reversal of 226716048 is 840617622.
226716048 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (226716041) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 304765 + ... + 305507.
Almost surely, 2226716048 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 226716048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344207136).
226716048 is an abundant number, since it is smaller than the sum of its proper divisors (461698224).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
226716048 is a wasteful number, since it uses less digits than its factorization.
226716048 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 933 (or 924 counting only the distinct ones).
The product of its (nonzero) digits is 32256, while the sum is 36.
The square root of 226716048 is about 15057.0929465153. The cubic root of 226716048 is about 609.7625592058.
The spelling of 226716048 in words is "two hundred twenty-six million, seven hundred sixteen thousand, forty-eight".
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