Base | Representation |
---|---|
bin | 10100101110011101… |
… | …101100110010011001 |
3 | 2010102221112100001121 |
4 | 110232131230302121 |
5 | 331034104432131 |
6 | 14120140245241 |
7 | 1415325025654 |
oct | 245635546231 |
9 | 63387470047 |
10 | 22254374041 |
11 | 9490017669 |
12 | 4390b40821 |
13 | 2138766583 |
14 | 111187889b |
15 | 8a3b28911 |
hex | 52e76cc99 |
22254374041 has 9 divisors (see below), whose sum is σ = 22383259263. Its totient is φ = 22126229280.
The previous prime is 22254374029. The next prime is 22254374099. The reversal of 22254374041 is 14047345222.
The square root of 22254374041 is 149179.
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., 16736855641 + 5517518400 = 129371^2 + 74280^2 .
It is not a de Polignac number, because 22254374041 - 27 = 22254373913 is a prime.
It is a Duffinian number.
It is a junction number, because it is equal to n+sod(n) for n = 22254373988 and 22254374006.
It is not an unprimeable number, because it can be changed into a prime (22254374011) by changing a digit.
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 8 ways as a sum of consecutive naturals, for example, 35951830 + ... + 35952448.
It is an arithmetic number, because the mean of its divisors is an integer number (2487028807).
Almost surely, 222254374041 is an apocalyptic number.
22254374041 is the 149179-th square number.
22254374041 is the 74590-th centered octagonal number.
It is an amenable number.
22254374041 is a deficient number, since it is larger than the sum of its proper divisors (128885222).
22254374041 is an frugal number, since it uses more digits than its factorization.
22254374041 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1720 (or 860 counting only the distinct ones).
The product of its (nonzero) digits is 53760, while the sum is 34.
The spelling of 22254374041 in words is "twenty-two billion, two hundred fifty-four million, three hundred seventy-four thousand, forty-one".
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