Base | Representation |
---|---|
bin | 10100110010001101… |
… | …111000001000000000 |
3 | 2010121100000002022110 |
4 | 110302031320020000 |
5 | 331201214210130 |
6 | 14130305535320 |
7 | 1420021134510 |
oct | 246215701000 |
9 | 63540002273 |
10 | 22317335040 |
11 | 9512610150 |
12 | 43aa044540 |
13 | 214880c1c0 |
14 | 1119d87840 |
15 | 8a9413ab0 |
hex | 532378200 |
22317335040 has 640 divisors, whose sum is σ = 95825866752. Its totient is φ = 4279173120.
The previous prime is 22317335017. The next prime is 22317335059. The reversal of 22317335040 is 4053371322.
It is a tau number, because it is divible by the number of its divisors (640).
It is a super-3 number, since 3×223173350403 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (30).
It is a junction number, because it is equal to n+sod(n) for n = 22317334989 and 22317335007.
It is an unprimeable number.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7686229 + ... + 7689131.
Almost surely, 222317335040 is an apocalyptic number.
22317335040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 22317335040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47912933376).
22317335040 is an abundant number, since it is smaller than the sum of its proper divisors (73508531712).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22317335040 is a wasteful number, since it uses less digits than its factorization.
22317335040 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2960 (or 2944 counting only the distinct ones).
The product of its (nonzero) digits is 15120, while the sum is 30.
The spelling of 22317335040 in words is "twenty-two billion, three hundred seventeen million, three hundred thirty-five thousand, forty".
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