Base | Representation |
---|---|
bin | 10101001011001001… |
… | …000110011000000001 |
3 | 2011200110212201202100 |
4 | 111023021012120001 |
5 | 333030242404324 |
6 | 14240004541013 |
7 | 1433256446502 |
oct | 251311063001 |
9 | 64613781670 |
10 | 22735513089 |
11 | 9707671543 |
12 | 44a60b1769 |
13 | 21b4346833 |
14 | 1159720ba9 |
15 | 8d0eb84c9 |
hex | 54b246601 |
22735513089 has 9 divisors (see below), whose sum is σ = 32840838979. Its totient is φ = 15156707160.
The previous prime is 22735513079. The next prime is 22735513127. The reversal of 22735513089 is 98031553722.
The square root of 22735513089 is 150783.
It is a perfect power (a square), and thus also a powerful number.
22735513089 is a `hidden beast` number, since 2 + 27 + 35 + 513 + 0 + 89 = 666.
It can be written as a sum of positive squares in only one way, i.e., 4331877489 + 18403635600 = 65817^2 + 135660^2 .
It is a tau number, because it is divible by the number of its divisors (9).
It is not a de Polignac number, because 22735513089 - 217 = 22735382017 is a prime.
It is a Duffinian number.
It is not an unprimeable number, because it can be changed into a prime (22735513079) 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 8 ways as a sum of consecutive naturals, for example, 427219 + ... + 477479.
Almost surely, 222735513089 is an apocalyptic number.
22735513089 is the 150783-rd square number.
22735513089 is the 75392-nd centered octagonal number.
It is an amenable number.
22735513089 is a deficient number, since it is larger than the sum of its proper divisors (10105325890).
22735513089 is an frugal number, since it uses more digits than its factorization.
22735513089 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 100528 (or 50264 counting only the distinct ones).
The product of its (nonzero) digits is 453600, while the sum is 45.
It can be divided in two parts, 22735 and 513089, that added together give a square (535824 = 7322).
The spelling of 22735513089 in words is "twenty-two billion, seven hundred thirty-five million, five hundred thirteen thousand, eighty-nine".
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