Base | Representation |
---|---|
bin | 110011011010111011101101… |
… | …010001010000110010010000 |
3 | 1002122201211202011220022121001 |
4 | 303122323231101100302100 |
5 | 214120230113303311401 |
6 | 2120552231041511344 |
7 | 65430612165005200 |
oct | 6332735521206220 |
9 | 1078654664808531 |
10 | 226151188728976 |
11 | 660711a9319625 |
12 | 21445747642554 |
13 | 9925c7252b084 |
14 | 3dbbac125a400 |
15 | 1b22aa0eed601 |
hex | cdaeed450c90 |
226151188728976 has 135 divisors (see below), whose sum is σ = 513872091897849. Its totient is φ = 96136035214464.
The previous prime is 226151188728973. The next prime is 226151188728991. The reversal of 226151188728976 is 679827881151622.
The square root of 226151188728976 is 15038324.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in only one way, i.e., 225296377535376 + 854811193600 = 15009876^2 + 924560^2 .
It is a super-2 number, since 2×2261511887289762 (a number of 30 digits) contains 22 as substring.
It is a Duffinian number.
It is a junction number, because it is equal to n+sod(n) for n = 226151188728899 and 226151188728908.
It is not an unprimeable number, because it can be changed into a prime (226151188728973) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 53476278030 + ... + 53476282258.
Almost surely, 2226151188728976 is an apocalyptic number.
226151188728976 is the 15038324-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 226151188728976
226151188728976 is an abundant number, since it is smaller than the sum of its proper divisors (287720903168873).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
226151188728976 is an frugal number, since it uses more digits than its factorization.
226151188728976 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8734 (or 4365 counting only the distinct ones).
The product of its digits is 325140480, while the sum is 73.
The spelling of 226151188728976 in words is "two hundred twenty-six trillion, one hundred fifty-one billion, one hundred eighty-eight million, seven hundred twenty-eight thousand, nine hundred seventy-six".
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