Base | Representation |
---|---|
bin | 10011110111001… |
… | …010100001000000 |
3 | 212020000202000100 |
4 | 103313022201000 |
5 | 1140301244341 |
6 | 53022122400 |
7 | 11154251325 |
oct | 2367124100 |
9 | 766022010 |
10 | 333228096 |
11 | 16110a223 |
12 | 93720400 |
13 | 540631b6 |
14 | 32382b4c |
15 | 1e3c43b6 |
hex | 13dca840 |
333228096 has 84 divisors (see below), whose sum is σ = 988123500. Its totient is φ = 107240448.
The previous prime is 333228089. The next prime is 333228097. The reversal of 333228096 is 690822333.
It can be written as a sum of positive squares in 2 ways, for example, as 97298496 + 235929600 = 9864^2 + 15360^2 .
It is a super-2 number, since 2×3332280962 = 222081927927570432, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 333228096.
It is not an unprimeable number, because it can be changed into a prime (333228097) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6730 + ... + 26678.
It is an arithmetic number, because the mean of its divisors is an integer number (11763375).
Almost surely, 2333228096 is an apocalyptic number.
333228096 is a gapful number since it is divisible by the number (36) 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 333228096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494061750).
333228096 is an abundant number, since it is smaller than the sum of its proper divisors (654895404).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
333228096 is a wasteful number, since it uses less digits than its factorization.
333228096 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 19996 (or 19983 counting only the distinct ones).
The product of its (nonzero) digits is 46656, while the sum is 36.
The square root of 333228096 is about 18254.5363129278. The cubic root of 333228096 is about 693.2882991788.
The spelling of 333228096 in words is "three hundred thirty-three million, two hundred twenty-eight thousand, ninety-six".
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