Base | Representation |
---|---|
bin | 10101011001101111… |
… | …011010011010010001 |
3 | 2012022112202012002100 |
4 | 111121233122122101 |
5 | 334030443001044 |
6 | 14320154311013 |
7 | 1442322332331 |
oct | 253157323221 |
9 | 65275665070 |
10 | 22980437649 |
11 | 9822948a34 |
12 | 4554128469 |
13 | 2223000000 |
14 | 11800790c1 |
15 | 8e7748869 |
hex | 559bda691 |
22980437649 has 63 divisors (see below), whose sum is σ = 37591590127. Its totient is φ = 13526946576.
The previous prime is 22980437647. The next prime is 22980437651. The reversal of 22980437649 is 94673408922.
The square root of 22980437649 is 151593.
It is a perfect power (a square), and thus also a powerful number.
22980437649 is a `hidden beast` number, since 229 + 8 + 0 + 4 + 376 + 49 = 666.
It is an interprime number because it is at equal distance from previous prime (22980437647) and next prime (22980437651).
It can be written as a sum of positive squares in 3 ways, for example, as 19716372225 + 3264065424 = 140415^2 + 57132^2 .
It is not a de Polignac number, because 22980437649 - 21 = 22980437647 is a prime.
It is a junction number, because it is equal to n+sod(n) for n = 22980437595 and 22980437604.
It is not an unprimeable number, because it can be changed into a prime (22980437647) 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 62 ways as a sum of consecutive naturals, for example, 999149452 + ... + 999149474.
Almost surely, 222980437649 is an apocalyptic number.
22980437649 is the 151593-rd square number.
22980437649 is the 75797-th centered octagonal number.
It is an amenable number.
22980437649 is a deficient number, since it is larger than the sum of its proper divisors (14611152478).
22980437649 is an frugal number, since it uses more digits than its factorization.
22980437649 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 130 (or 39 counting only the distinct ones).
The product of its (nonzero) digits is 5225472, while the sum is 54.
The spelling of 22980437649 in words is "twenty-two billion, nine hundred eighty million, four hundred thirty-seven thousand, six hundred forty-nine".
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