Base | Representation |
---|---|
bin | 1000011011110010… |
… | …1000100000110100 |
3 | 12211210012020002210 |
4 | 2012330220200310 |
5 | 14114043312044 |
6 | 1012354133420 |
7 | 110051015103 |
oct | 20674504064 |
9 | 5753166083 |
10 | 2264041524 |
11 | a61aa09a8 |
12 | 532281270 |
13 | 2a1095054 |
14 | 17698c03a |
15 | d3b6c1b9 |
hex | 86f28834 |
2264041524 has 48 divisors (see below), whose sum is σ = 5522025600. Its totient is φ = 720614400.
The previous prime is 2264041519. The next prime is 2264041531. The reversal of 2264041524 is 4251404622.
It is a junction number, because it is equal to n+sod(n) for n = 2264041491 and 2264041500.
It is a congruent number.
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 15 ways as a sum of consecutive naturals, for example, 159052 + ... + 172700.
It is an arithmetic number, because the mean of its divisors is an integer number (115042200).
Almost surely, 22264041524 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 2264041524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2761012800).
2264041524 is an abundant number, since it is smaller than the sum of its proper divisors (3257984076).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2264041524 is a wasteful number, since it uses less digits than its factorization.
2264041524 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 14280 (or 14278 counting only the distinct ones).
The product of its (nonzero) digits is 15360, while the sum is 30.
The square root of 2264041524 is about 47581.9453574568. The cubic root of 2264041524 is about 1313.0909131666.
The spelling of 2264041524 in words is "two billion, two hundred sixty-four million, forty-one thousand, five hundred twenty-four".
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