Base | Representation |
---|---|
bin | 10101010110010001… |
… | …100010110010000000 |
3 | 2012011111022021021000 |
4 | 111112101202302000 |
5 | 333421100312333 |
6 | 14310315532000 |
7 | 1441015062624 |
oct | 252621426200 |
9 | 65144267230 |
10 | 22922275968 |
11 | 97a3033229 |
12 | 453875a000 |
13 | 2213c47a07 |
14 | 1176459184 |
15 | 8e25aa713 |
hex | 556462c80 |
22922275968 has 256 divisors, whose sum is σ = 69719040000. Its totient is φ = 7410963456.
The previous prime is 22922275933. The next prime is 22922275993. The reversal of 22922275968 is 86957222922.
It is a happy number.
22922275968 is a `hidden beast` number, since 2 + 2 + 9 + 22 + 27 + 596 + 8 = 666.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is an unprimeable number.
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 31 ways as a sum of consecutive naturals, for example, 16107705 + ... + 16109127.
It is an arithmetic number, because the mean of its divisors is an integer number (272340000).
Almost surely, 222922275968 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 22922275968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34859520000).
22922275968 is an abundant number, since it is smaller than the sum of its proper divisors (46796764032).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22922275968 is a wasteful number, since it uses less digits than its factorization.
22922275968 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1584 (or 1566 counting only the distinct ones).
The product of its digits is 4354560, while the sum is 54.
The spelling of 22922275968 in words is "twenty-two billion, nine hundred twenty-two million, two hundred seventy-five thousand, nine hundred sixty-eight".
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