Base | Representation |
---|---|
bin | 1010000111000010111010… |
… | …00001001101101001010110 |
3 | 2220201101111000001022220010 |
4 | 11003201131001031221112 |
5 | 10403223233144320342 |
6 | 115141214405021050 |
7 | 4453142254134330 |
oct | 503413501155126 |
9 | 86641430038803 |
10 | 22232311323222 |
11 | 70a1741168430 |
12 | 25b09300b4786 |
13 | c5366203a430 |
14 | 56c09a1b2450 |
15 | 2884a7cbd29c |
hex | 14385d04da56 |
22232311323222 has 256 divisors, whose sum is σ = 61342234361856. Its totient is φ = 5183994816000.
The previous prime is 22232311323199. The next prime is 22232311323223.
It is a happy number.
22232311323222 is nontrivially palindromic in base 10.
It is a super-2 number, since 2×222323113232222 (a number of 27 digits) contains 22 as substring.
It is a nude number because it is divisible by every one of its digits.
It is a self number, because there is not a number n which added to its sum of digits gives 22232311323222.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (22232311323223) by changing a digit.
It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 513533397 + ... + 513576687.
It is an arithmetic number, because the mean of its divisors is an integer number (239618102976).
Almost surely, 222232311323222 is an apocalyptic number.
22232311323222 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 22232311323222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30671117180928).
22232311323222 is an abundant number, since it is smaller than the sum of its proper divisors (39109923038634).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22232311323222 is a wasteful number, since it uses less digits than its factorization.
22232311323222 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 45675.
The product of its digits is 20736, while the sum is 30.
It can be divided in two parts, 2223231 and 1323222, that added together give a palindrome (3546453).
The spelling of 22232311323222 in words is "twenty-two trillion, two hundred thirty-two billion, three hundred eleven million, three hundred twenty-three thousand, two hundred twenty-two".
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