| Base | Representation |
|---|---|
| bin | 10100110010000001… |
| … | …111110001110101010 |
| 3 | 2010121010010112111000 |
| 4 | 110302001332032222 |
| 5 | 331144414324224 |
| 6 | 14130115015430 |
| 7 | 1416652456260 |
| oct | 246201761652 |
| 9 | 63533115430 |
| 10 | 22314214314 |
| 11 | 9510879537 |
| 12 | 43a8b9a576 |
| 13 | 2147c88912 |
| 14 | 11197b4430 |
| 15 | 8a8ee90c9 |
| hex | 53207e3aa |
22314214314 has 192 divisors, whose sum is σ = 62160134400. Its totient is φ = 5792145408.
The previous prime is 22314214309. The next prime is 22314214319. The reversal of 22314214314 is 41341241322.
22314214314 is a `hidden beast` number, since 2 + 231 + 421 + 4 + 3 + 1 + 4 = 666.
It is an interprime number because it is at equal distance from previous prime (22314214309) and next prime (22314214319).
It is a super-3 number, since 3×223142143143 (a number of 32 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 (27).
It is not an unprimeable number, because it can be changed into a prime (22314214319) 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 95 ways as a sum of consecutive naturals, for example, 5402202 + ... + 5406330.
It is an arithmetic number, because the mean of its divisors is an integer number (323750700).
Almost surely, 222314214314 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 22314214314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31080067200).
22314214314 is an abundant number, since it is smaller than the sum of its proper divisors (39845920086).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22314214314 is a wasteful number, since it uses less digits than its factorization.
22314214314 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4222 (or 4187 counting only the distinct ones).
The product of its digits is 4608, while the sum is 27.
Adding to 22314214314 its reverse (41341241322), we get a palindrome (63655455636).
The spelling of 22314214314 in words is "twenty-two billion, three hundred fourteen million, two hundred fourteen thousand, three hundred fourteen".
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