| Base | Representation |
|---|---|
| bin | 1101001010001000010… |
| … | …1110011001111000000 |
| 3 | 210121111100111110200000 |
| 4 | 3102202011303033000 |
| 5 | 12200431234311320 |
| 6 | 251503253400000 |
| 7 | 22221630664200 |
| oct | 3224205631700 |
| 9 | 717440443600 |
| 10 | 226057728960 |
| 11 | 87963770698 |
| 12 | 3798a339000 |
| 13 | 18417a25bcb |
| 14 | ad26b22400 |
| 15 | 5d30e2cc90 |
| hex | 34a21733c0 |
226057728960 has 1008 divisors, whose sum is σ = 951128156160. Its totient is φ = 50948352000.
The previous prime is 226057728899. The next prime is 226057728961. The reversal of 226057728960 is 69827750622.
226057728960 is a `hidden beast` number, since 2 + 2 + 6 + 0 + 577 + 2 + 8 + 9 + 60 = 666.
It is a tau number, because it is divible by the number of its divisors (1008).
It is a super-2 number, since 2×2260577289602 (a number of 24 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a junction number, because it is equal to n+sod(n) for n = 226057728897 and 226057728906.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (226057728961) by changing a digit.
It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 301008585 + ... + 301009335.
It is an arithmetic number, because the mean of its divisors is an integer number (943579520).
Almost surely, 2226057728960 is an apocalyptic number.
226057728960 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 226057728960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475564078080).
226057728960 is an abundant number, since it is smaller than the sum of its proper divisors (725070427200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
226057728960 is an equidigital number, since it uses as much as digits as its factorization.
226057728960 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 876 (or 847 counting only the distinct ones).
The product of its (nonzero) digits is 5080320, while the sum is 54.
The spelling of 226057728960 in words is "two hundred twenty-six billion, fifty-seven million, seven hundred twenty-eight thousand, nine hundred sixty".
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