| Base | Representation |
|---|---|
| bin | 11010111111000… |
| … | …11100110000000 |
| 3 | 120202222002120200 |
| 4 | 31133203212000 |
| 5 | 430423013224 |
| 6 | 34244005200 |
| 7 | 5416110345 |
| oct | 1537434600 |
| 9 | 522862520 |
| 10 | 226376064 |
| 11 | 106868762 |
| 12 | 63990800 |
| 13 | 37b90945 |
| 14 | 220ca7cc |
| 15 | 14d195c9 |
| hex | d7e3980 |
226376064 has 192 divisors, whose sum is σ = 689307840. Its totient is φ = 71221248.
The previous prime is 226376011. The next prime is 226376071. The reversal of 226376064 is 460673622.
It is a happy number.
226376064 is a `hidden beast` number, since 226 + 376 + 0 + 64 = 666.
226376064 is digitally balanced in base 2, 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 (192).
It is a super-2 number, since 2×2263760642 = 102492244704264192, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2003272 + ... + 2003384.
It is an arithmetic number, because the mean of its divisors is an integer number (3590145).
Almost surely, 2226376064 is an apocalyptic number.
226376064 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 226376064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344653920).
226376064 is an abundant number, since it is smaller than the sum of its proper divisors (462931776).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
226376064 is a wasteful number, since it uses less digits than its factorization.
226376064 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 217 (or 202 counting only the distinct ones).
The product of its (nonzero) digits is 72576, while the sum is 36.
The square root of 226376064 is about 15045.7988820800. The cubic root of 226376064 is about 609.4576061901.
The spelling of 226376064 in words is "two hundred twenty-six million, three hundred seventy-six thousand, sixty-four".
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