Base | Representation |
---|---|
bin | 11010111101011… |
… | …10010100001000 |
3 | 120202120000020000 |
4 | 31132232110020 |
5 | 430344022312 |
6 | 34235203000 |
7 | 5414211165 |
oct | 1536562410 |
9 | 522500200 |
10 | 226157832 |
11 | 1067297aa |
12 | 638a6460 |
13 | 37b15504 |
14 | 2207106c |
15 | 14cc4adc |
hex | d7ae508 |
226157832 has 80 divisors (see below), whose sum is σ = 635721900. Its totient is φ = 75116160.
The previous prime is 226157831. The next prime is 226157839. The reversal of 226157832 is 238751622.
226157832 is a `hidden beast` number, since 2 + 2 + 615 + 7 + 8 + 32 = 666.
226157832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 2 ways, for example, as 203747076 + 22410756 = 14274^2 + 4734^2 .
It is a super-2 number, since 2×2261578322 = 102294729949880448, which contains 22 as substring.
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 (226157831) by changing a digit.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 272394 + ... + 273222.
Almost surely, 2226157832 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 226157832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317860950).
226157832 is an abundant number, since it is smaller than the sum of its proper divisors (409564068).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
226157832 is a wasteful number, since it uses less digits than its factorization.
226157832 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1268 (or 1255 counting only the distinct ones).
The product of its digits is 40320, while the sum is 36.
The square root of 226157832 is about 15038.5448764167. The cubic root of 226157832 is about 609.2616992667.
The spelling of 226157832 in words is "two hundred twenty-six million, one hundred fifty-seven thousand, eight hundred thirty-two".
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