Base | Representation |
---|---|
bin | 10101001001000110… |
… | …000000010110101001 |
3 | 2011121002012210010000 |
4 | 111021012000112221 |
5 | 332442443210221 |
6 | 14232340213213 |
7 | 1432361366451 |
oct | 251106002651 |
9 | 64532183100 |
10 | 22701147561 |
11 | 969a22a184 |
12 | 449669a209 |
13 | 21aa1a37c1 |
14 | 1154d36d61 |
15 | 8cce7ae26 |
hex | 5491805a9 |
22701147561 has 15 divisors (see below), whose sum is σ = 33913616583. Its totient is φ = 15133194360.
The previous prime is 22701147551. The next prime is 22701147577. The reversal of 22701147561 is 16574110722.
The square root of 22701147561 is 150669.
It is a perfect power (a square), and thus also a powerful number.
22701147561 is a `hidden beast` number, since 22 + 70 + 1 + 1 + 4 + 7 + 561 = 666.
It can be written as a sum of positive squares in only one way, i.e., 22161979161 + 539168400 = 148869^2 + 23220^2 .
It is not a de Polignac number, because 22701147561 - 25 = 22701147529 is a prime.
It is not an unprimeable number, because it can be changed into a prime (22701147551) by changing a digit.
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 14 ways as a sum of consecutive naturals, for example, 1347651 + ... + 1364391.
Almost surely, 222701147561 is an apocalyptic number.
22701147561 is the 150669-th square number.
22701147561 is the 75335-th centered octagonal number.
It is an amenable number.
22701147561 is a deficient number, since it is larger than the sum of its proper divisors (11212469022).
22701147561 is an frugal number, since it uses more digits than its factorization.
22701147561 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 33494 (or 16744 counting only the distinct ones).
The product of its (nonzero) digits is 23520, while the sum is 36.
Multiplying 22701147561 by its sum of digits (36), we get a square (817241312196 = 9040142).
The spelling of 22701147561 in words is "twenty-two billion, seven hundred one million, one hundred forty-seven thousand, five hundred sixty-one".
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