Base | Representation |
---|---|
bin | 11011000001010… |
… | …00110110100000 |
3 | 120210111111201100 |
4 | 31200220312200 |
5 | 431011102434 |
6 | 34254034400 |
7 | 5421401403 |
oct | 1540506640 |
9 | 523444640 |
10 | 226659744 |
11 | 106a41903 |
12 | 63aa8a00 |
13 | 37c5cabc |
14 | 22161d3a |
15 | 14d73699 |
hex | d828da0 |
226659744 has 72 divisors (see below), whose sum is σ = 653453892. Its totient is φ = 74511360.
The previous prime is 226659731. The next prime is 226659757. The reversal of 226659744 is 447956622.
It is an interprime number because it is at equal distance from previous prime (226659731) and next prime (226659757).
It can be written as a sum of positive squares in 2 ways, for example, as 225360144 + 1299600 = 15012^2 + 1140^2 .
It is a tau number, because it is divible by the number of its divisors (72).
It is a self number, because there is not a number n which added to its sum of digits gives 226659744.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15634 + ... + 26414.
Almost surely, 2226659744 is an apocalyptic number.
226659744 is a gapful number since it is divisible by the number (24) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 226659744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326726946).
226659744 is an abundant number, since it is smaller than the sum of its proper divisors (426794148).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
226659744 is a wasteful number, since it uses less digits than its factorization.
226659744 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10870 (or 10859 counting only the distinct ones).
The product of its digits is 725760, while the sum is 45.
The square root of 226659744 is about 15055.2231468019. The cubic root of 226659744 is about 609.7120776836.
The spelling of 226659744 in words is "two hundred twenty-six million, six hundred fifty-nine thousand, seven hundred forty-four".
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