Base | Representation |
---|---|
bin | 10101000100100011… |
… | …011011000100000000 |
3 | 2011101202212201100001 |
4 | 111010203123010000 |
5 | 332313443114211 |
6 | 14221015405344 |
7 | 1430445045400 |
oct | 250443330400 |
9 | 64352781301 |
10 | 22624973056 |
11 | 9660231144 |
12 | 4475083854 |
13 | 219748272a |
14 | 1148b88800 |
15 | 8c6430ac1 |
hex | 5448db100 |
22624973056 has 243 divisors, whose sum is σ = 56522312469. Its totient is φ = 9010520064.
The previous prime is 22624973011. The next prime is 22624973069. The reversal of 22624973056 is 65037942622.
The square root of 22624973056 is 150416.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in only one way, i.e., 17614598400 + 5010374656 = 132720^2 + 70784^2 .
It is a junction number, because it is equal to n+sod(n) for n = 22624972997 and 22624973015.
It is an unprimeable number.
It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 286392025 + ... + 286392103.
Almost surely, 222624973056 is an apocalyptic number.
22624973056 is the 150416-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 22624973056
22624973056 is an abundant number, since it is smaller than the sum of its proper divisors (33897339413).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22624973056 is an frugal number, since it uses more digits than its factorization.
22624973056 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 222 (or 105 counting only the distinct ones).
The product of its (nonzero) digits is 1088640, while the sum is 46.
The spelling of 22624973056 in words is "twenty-two billion, six hundred twenty-four million, nine hundred seventy-three thousand, fifty-six".
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