Base | Representation |
---|---|
bin | 10100110101010110… |
… | …011110000001000000 |
3 | 2010201222221122000000 |
4 | 110311112132001000 |
5 | 331303144402130 |
6 | 14135425000000 |
7 | 1421230113600 |
oct | 246526360100 |
9 | 63658848000 |
10 | 22369919040 |
11 | 953a2662a7 |
12 | 4403783000 |
13 | 21566907b1 |
14 | 1122d54c00 |
15 | 8add4e260 |
hex | 53559e040 |
22369919040 has 1176 divisors, whose sum is σ = 98744592960. Its totient is φ = 4796983296.
The previous prime is 22369919027. The next prime is 22369919041. The reversal of 22369919040 is 4091996322.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (1176).
It is a Harshad number since it is a multiple of its sum of digits (45).
It is not an unprimeable number, because it can be changed into a prime (22369919041) by changing a digit.
It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 217183629 + ... + 217183731.
Almost surely, 222369919040 is an apocalyptic number.
22369919040 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 22369919040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49372296480).
22369919040 is an abundant number, since it is smaller than the sum of its proper divisors (76374673920).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22369919040 is a wasteful number, since it uses less digits than its factorization.
22369919040 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 171 (or 139 counting only the distinct ones).
The product of its (nonzero) digits is 209952, while the sum is 45.
The spelling of 22369919040 in words is "twenty-two billion, three hundred sixty-nine million, nine hundred nineteen thousand, forty".
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