Base | Representation |
---|---|
bin | 10100110010000010… |
… | …010110100100100110 |
3 | 2010121010022121020220 |
4 | 110302002112210212 |
5 | 331144431022042 |
6 | 14130121105210 |
7 | 1416653353050 |
oct | 246202264446 |
9 | 63533277226 |
10 | 22314314022 |
11 | 9510937440 |
12 | 43a9028206 |
13 | 2147cc2110 |
14 | 11197dc8d0 |
15 | 8a90188ec |
hex | 532096926 |
22314314022 has 128 divisors (see below), whose sum is σ = 60085186560. Its totient is φ = 5335424640.
The previous prime is 22314314003. The next prime is 22314314069. The reversal of 22314314022 is 22041341322.
It is a happy number.
It is a super-3 number, since 3×223143140223 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a junction number, because it is equal to n+sod(n) for n = 22314313983 and 22314314001.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2271373 + ... + 2281175.
It is an arithmetic number, because the mean of its divisors is an integer number (469415520).
Almost surely, 222314314022 is an apocalyptic number.
22314314022 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 22314314022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30042593280).
22314314022 is an abundant number, since it is smaller than the sum of its proper divisors (37770872538).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22314314022 is a wasteful number, since it uses less digits than its factorization.
22314314022 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 10218.
The product of its (nonzero) digits is 2304, while the sum is 24.
Adding to 22314314022 its reverse (22041341322), we get a palindrome (44355655344).
The spelling of 22314314022 in words is "twenty-two billion, three hundred fourteen million, three hundred fourteen thousand, twenty-two".
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