Base | Representation |
---|---|
bin | 10100110001111010… |
… | …101001001100001001 |
3 | 2010120222111221010000 |
4 | 110301322221030021 |
5 | 331143421340004 |
6 | 14130005513213 |
7 | 1416630235200 |
oct | 246172511411 |
9 | 63528457100 |
10 | 22312293129 |
11 | 950a787085 |
12 | 43a8412809 |
13 | 2147765319 |
14 | 1119434237 |
15 | 8a8c69c39 |
hex | 531ea9309 |
22312293129 has 45 divisors (see below), whose sum is σ = 38788817661. Its totient is φ = 12744504360.
The previous prime is 22312293083. The next prime is 22312293131. The reversal of 22312293129 is 92139221322.
The square root of 22312293129 is 149373.
It is a perfect power (a square), and thus also a powerful number.
22312293129 is a `hidden beast` number, since 2 + 2 + 312 + 29 + 312 + 9 = 666.
It is not a de Polignac number, because 22312293129 - 221 = 22310195977 is a prime.
It is a super-3 number, since 3×223122931293 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a junction number, because it is equal to n+sod(n) for n = 22312293093 and 22312293102.
It is not an unprimeable number, because it can be changed into a prime (22312293329) by changing a digit.
It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 9409314 + ... + 9411684.
Almost surely, 222312293129 is an apocalyptic number.
22312293129 is the 149373-rd square number.
22312293129 is the 74687-th centered octagonal number.
It is an amenable number.
22312293129 is a deficient number, since it is larger than the sum of its proper divisors (16476524532).
22312293129 is an frugal number, since it uses more digits than its factorization.
22312293129 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4768 (or 2381 counting only the distinct ones).
The product of its digits is 23328, while the sum is 36.
Multiplying 22312293129 by its sum of digits (36), we get a square (803242552644 = 8962382).
The spelling of 22312293129 in words is "twenty-two billion, three hundred twelve million, two hundred ninety-three thousand, one hundred twenty-nine".
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