Base | Representation |
---|---|
bin | 11011000001110… |
… | …01011000000000 |
3 | 120210121221120000 |
4 | 31200321120000 |
5 | 431020234144 |
6 | 34255320000 |
7 | 5422102620 |
oct | 1540713000 |
9 | 523557500 |
10 | 226727424 |
11 | 106a88740 |
12 | 63b20000 |
13 | 37c84851 |
14 | 2217c880 |
15 | 14d88769 |
hex | d839600 |
226727424 has 400 divisors, whose sum is σ = 855588096. Its totient is φ = 58060800.
The previous prime is 226727377. The next prime is 226727429. The reversal of 226727424 is 424727622.
226727424 is a `hidden beast` number, since 226 + 7 + 2 + 7 + 424 = 666.
226727424 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 a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (226727429) by changing a digit.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3193309 + ... + 3193379.
Almost surely, 2226727424 is an apocalyptic number.
226727424 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 226727424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427794048).
226727424 is an abundant number, since it is smaller than the sum of its proper divisors (628860672).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
226727424 is an equidigital number, since it uses as much as digits as its factorization.
226727424 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 119 (or 94 counting only the distinct ones).
The product of its digits is 75264, while the sum is 36.
The square root of 226727424 is about 15057.4707039396. The cubic root of 226727424 is about 609.7727577822.
The spelling of 226727424 in words is "two hundred twenty-six million, seven hundred twenty-seven thousand, four hundred twenty-four".
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