Base | Representation |
---|---|
bin | 1101001011001001100… |
… | …0110001101101000000 |
3 | 210122012101222010120100 |
4 | 3102302120301231000 |
5 | 12202011232421010 |
6 | 251550341442400 |
7 | 22231460636520 |
oct | 3226230615500 |
9 | 718171863510 |
10 | 226331138880 |
11 | 87a94033600 |
12 | 37a45a10400 |
13 | 1845c573b22 |
14 | ad51173680 |
15 | 5d49e382c0 |
hex | 34b2631b40 |
226331138880 has 2016 divisors, whose sum is σ = 1048264648704. Its totient is φ = 43794432000.
The previous prime is 226331138809. The next prime is 226331138881. The reversal of 226331138880 is 88831133622.
226331138880 is a `hidden beast` number, since 2 + 2 + 633 + 1 + 1 + 3 + 8 + 8 + 8 + 0 = 666.
226331138880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (2016).
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (226331138881) by changing a digit.
It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3100426524 + ... + 3100426596.
It is an arithmetic number, because the mean of its divisors is an integer number (519972544).
Almost surely, 2226331138880 is an apocalyptic number.
226331138880 is a gapful number since it is divisible by the number (20) 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 226331138880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524132324352).
226331138880 is an abundant number, since it is smaller than the sum of its proper divisors (821933509824).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
226331138880 is a wasteful number, since it uses less digits than its factorization.
226331138880 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 197 (or 173 counting only the distinct ones).
The product of its (nonzero) digits is 331776, while the sum is 45.
The spelling of 226331138880 in words is "two hundred twenty-six billion, three hundred thirty-one million, one hundred thirty-eight thousand, eight hundred eighty".
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