Base | Representation |
---|---|
bin | 10100110100101100… |
… | …101100111100100000 |
3 | 2010201020100100221100 |
4 | 110310230230330200 |
5 | 331242344021034 |
6 | 14134354154400 |
7 | 1421035052610 |
oct | 246454547440 |
9 | 63636310840 |
10 | 22358970144 |
11 | 9534068225 |
12 | 43bbb82a00 |
13 | 2154329064 |
14 | 1121704a40 |
15 | 8acdda099 |
hex | 534b2cf20 |
22358970144 has 72 divisors (see below), whose sum is σ = 72666659520. Its totient is φ = 6388276608.
The previous prime is 22358970121. The next prime is 22358970169. The reversal of 22358970144 is 44107985322.
22358970144 is a `hidden beast` number, since 2 + 23 + 589 + 7 + 0 + 1 + 44 = 666.
It is a tau number, because it is divible by the number of its divisors (72).
It is a super-3 number, since 3×223589701443 (a number of 32 digits) contains 333 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 22358970144.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5543364 + ... + 5547395.
It is an arithmetic number, because the mean of its divisors is an integer number (1009259160).
Almost surely, 222358970144 is an apocalyptic number.
22358970144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.
It is an amenable number.
22358970144 is an abundant number, since it is smaller than the sum of its proper divisors (50307689376).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22358970144 is a wasteful number, since it uses less digits than its factorization.
22358970144 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 11090782 (or 11090771 counting only the distinct ones).
The product of its (nonzero) digits is 483840, while the sum is 45.
The spelling of 22358970144 in words is "twenty-two billion, three hundred fifty-eight million, nine hundred seventy thousand, one hundred forty-four".
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