Base | Representation |
---|---|
bin | 1000010100001101… |
… | …0010000010000110 |
3 | 12202120100000221000 |
4 | 2011003102002012 |
5 | 14032422330042 |
6 | 1005300234130 |
7 | 106213433151 |
oct | 20503220206 |
9 | 5676300830 |
10 | 2232230022 |
11 | a46043500 |
12 | 52369b946 |
13 | 297607689 |
14 | 17266ac98 |
15 | d0e8674c |
hex | 850d2086 |
2232230022 has 96 divisors (see below), whose sum is σ = 5534928000. Its totient is φ = 666206640.
The previous prime is 2232230009. The next prime is 2232230023. The reversal of 2232230022 is 2200322322.
2232230022 is a `hidden beast` number, since 22 + 322 + 300 + 22 = 666.
It is a super-3 number, since 3×22322300223 (a number of 29 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 (18).
It is a junction number, because it is equal to n+sod(n) for n = 2232229977 and 2232230004.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2232230023) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 435229 + ... + 440327.
It is an arithmetic number, because the mean of its divisors is an integer number (57655500).
Almost surely, 22232230022 is an apocalyptic number.
2232230022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 2232230022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2767464000).
2232230022 is an abundant number, since it is smaller than the sum of its proper divisors (3302697978).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2232230022 is a wasteful number, since it uses less digits than its factorization.
2232230022 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5199 (or 5182 counting only the distinct ones).
The product of its (nonzero) digits is 576, while the sum is 18.
The square root of 2232230022 is about 47246.4815832883. The cubic root of 2232230022 is about 1306.9119075679.
Adding to 2232230022 its reverse (2200322322), we get a palindrome (4432552344).
It can be divided in two parts, 22322300 and 22, that added together give a palindrome (22322322).
The spelling of 2232230022 in words is "two billion, two hundred thirty-two million, two hundred thirty thousand, twenty-two".
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