Base | Representation |
---|---|
bin | 11111101011111000… |
… | …001011100011011111 |
3 | 10020211001122222222200 |
4 | 133223320023203133 |
5 | 1024134132103343 |
6 | 23343552342543 |
7 | 2313046311564 |
oct | 375370134337 |
9 | 106731588880 |
10 | 34022144223 |
11 | 13479682571 |
12 | 6715b44a53 |
13 | 329276abb2 |
14 | 190a6c486b |
15 | d41cc54d3 |
hex | 7ebe0b8df |
34022144223 has 48 divisors (see below), whose sum is σ = 52028421120. Its totient is φ = 21388352832.
The previous prime is 34022144201. The next prime is 34022144231. The reversal of 34022144223 is 32244122043.
34022144223 is a `hidden beast` number, since 3 + 402 + 214 + 42 + 2 + 3 = 666.
It is not a de Polignac number, because 34022144223 - 218 = 34021882079 is a prime.
It is a super-2 number, since 2×340221442232 (a number of 22 digits) contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (34022144323) 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 47 ways as a sum of consecutive naturals, for example, 6412990 + ... + 6418292.
It is an arithmetic number, because the mean of its divisors is an integer number (1083925440).
Almost surely, 234022144223 is an apocalyptic number.
34022144223 is a deficient number, since it is larger than the sum of its proper divisors (18006276897).
34022144223 is a wasteful number, since it uses less digits than its factorization.
34022144223 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5908 (or 5905 counting only the distinct ones).
The product of its (nonzero) digits is 9216, while the sum is 27.
Adding to 34022144223 its reverse (32244122043), we get a palindrome (66266266266).
The spelling of 34022144223 in words is "thirty-four billion, twenty-two million, one hundred forty-four thousand, two hundred twenty-three".
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