Base | Representation |
---|---|
bin | 10100101100111110… |
… | …011011100010000010 |
3 | 2010101012112111200100 |
4 | 110230332123202002 |
5 | 331011211242212 |
6 | 14113445103230 |
7 | 1414602531300 |
oct | 245476334202 |
9 | 63335474610 |
10 | 22229399682 |
11 | 9477a09aa6 |
12 | 43846b7b16 |
13 | 2133530c49 |
14 | 110c417270 |
15 | 8a1843bdc |
hex | 52cf9b882 |
22229399682 has 216 divisors, whose sum is σ = 61151235444. Its totient is φ = 5813627904.
The previous prime is 22229399653. The next prime is 22229399683. The reversal of 22229399682 is 28699392222.
22229399682 is a `hidden beast` number, since 22 + 229 + 399 + 6 + 8 + 2 = 666.
It can be written as a sum of positive squares in 6 ways, for example, as 18284177961 + 3945221721 = 135219^2 + 62811^2 .
It is a super-2 number, since 2×222293996822 (a number of 21 digits) contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (22229399683) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 9430048 + ... + 9432404.
Almost surely, 222229399682 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 22229399682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30575617722).
22229399682 is an abundant number, since it is smaller than the sum of its proper divisors (38921835762).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22229399682 is a wasteful number, since it uses less digits than its factorization.
22229399682 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2450 (or 2423 counting only the distinct ones).
The product of its digits is 3359232, while the sum is 54.
The spelling of 22229399682 in words is "twenty-two billion, two hundred twenty-nine million, three hundred ninety-nine thousand, six hundred eighty-two".
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