| Base | Representation |
|---|---|
| bin | 11010111111101… |
| … | …00001100000000 |
| 3 | 120210002112211000 |
| 4 | 31133310030000 |
| 5 | 430432202112 |
| 6 | 34245252000 |
| 7 | 5416512453 |
| oct | 1537641400 |
| 9 | 523075730 |
| 10 | 226444032 |
| 11 | 106904831 |
| 12 | 63a04000 |
| 13 | 37bb5869 |
| 14 | 2210749a |
| 15 | 14d2e7dc |
| hex | d7f4300 |
226444032 has 108 divisors (see below), whose sum is σ = 673354920. Its totient is φ = 75064320.
The previous prime is 226444021. The next prime is 226444067. The reversal of 226444032 is 230444622.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It is a tau number, because it is divible by the number of its divisors (108).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 226443987 and 226444005.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1250982 + ... + 1251162.
Almost surely, 2226444032 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 226444032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336677460).
226444032 is an abundant number, since it is smaller than the sum of its proper divisors (446910888).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
226444032 is an frugal number, since it uses more digits than its factorization.
226444032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 387 (or 186 counting only the distinct ones).
The product of its (nonzero) digits is 9216, while the sum is 27.
The square root of 226444032 is about 15048.0574161584. The cubic root of 226444032 is about 609.5185953671.
Multiplying 226444032 by its sum of digits (27), we get a square (6113988864 = 781922).
226444032 divided by its sum of digits (27) gives a square (8386816 = 28962).
Adding to 226444032 its reverse (230444622), we get a palindrome (456888654).
The spelling of 226444032 in words is "two hundred twenty-six million, four hundred forty-four thousand, thirty-two".
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