Base | Representation |
---|---|
bin | 1010010011110000111010… |
… | …10111110001000100000000 |
3 | 2222021011111121002100021011 |
4 | 11021320131113301010000 |
5 | 10432403242010022244 |
6 | 120114051351210304 |
7 | 4526543064010000 |
oct | 511703527610400 |
9 | 88234447070234 |
10 | 22669330157824 |
11 | 7250010982109 |
12 | 2661574976994 |
13 | c85929c0c61c |
14 | 5852b6a40000 |
15 | 294a345ca434 |
hex | 149e1d5f1100 |
22669330157824 has 135 divisors (see below), whose sum is σ = 52797345675333. Its totient is φ = 9713827436544.
The previous prime is 22669330157813. The next prime is 22669330157833. The reversal of 22669330157824 is 42875103396622.
It is a happy number.
The square root of 22669330157824 is 4761232.
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., 20570215993600 + 2099114164224 = 4535440^2 + 1448832^2 .
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 3732802852 + ... + 3732808924.
It is a 1-persistent number, because it is pandigital, but 2⋅22669330157824 = 45338660315648 is not.
Almost surely, 222669330157824 is an apocalyptic number.
22669330157824 is the 4761232-nd square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 22669330157824
22669330157824 is an abundant number, since it is smaller than the sum of its proper divisors (30128015517509).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22669330157824 is an frugal number, since it uses more digits than its factorization.
22669330157824 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 12190 (or 6082 counting only the distinct ones).
The product of its (nonzero) digits is 26127360, while the sum is 58.
The spelling of 22669330157824 in words is "twenty-two trillion, six hundred sixty-nine billion, three hundred thirty million, one hundred fifty-seven thousand, eight hundred twenty-four".
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