Base | Representation |
---|---|
bin | 11011110100010… |
… | …01101111110010 |
3 | 121021002022101120 |
4 | 31322021233302 |
5 | 434214114312 |
6 | 35053243110 |
7 | 5532266052 |
oct | 1572115762 |
9 | 537068346 |
10 | 233348082 |
11 | 10a79a960 |
12 | 66193496 |
13 | 394621b6 |
14 | 22dc3562 |
15 | 1574528c |
hex | de89bf2 |
233348082 has 64 divisors (see below), whose sum is σ = 546186240. Its totient is φ = 65707200.
The previous prime is 233348081. The next prime is 233348099. The reversal of 233348082 is 280843332.
233348082 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (33).
It is not an unprimeable number, because it can be changed into a prime (233348081) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64707 + ... + 68217.
It is an arithmetic number, because the mean of its divisors is an integer number (8534160).
Almost surely, 2233348082 is an apocalyptic number.
233348082 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 233348082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273093120).
233348082 is an abundant number, since it is smaller than the sum of its proper divisors (312838158).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
233348082 is a wasteful number, since it uses less digits than its factorization.
233348082 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3599.
The product of its (nonzero) digits is 27648, while the sum is 33.
The square root of 233348082 is about 15275.7350723296. The cubic root of 233348082 is about 615.6512210808.
The spelling of 233348082 in words is "two hundred thirty-three million, three hundred forty-eight thousand, eighty-two".
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