Base | Representation |
---|---|
bin | 110010100011001110101000… |
… | …101110110111010011111000 |
3 | 1002011011220002200001002110000 |
4 | 302203032220232313103320 |
5 | 213120020430042002222 |
6 | 2104501513443153000 |
7 | 64554215502120330 |
oct | 6243165056672370 |
9 | 1064156080032400 |
10 | 222323223000312 |
11 | 6492582747a305 |
12 | 20b27891675760 |
13 | 9708cb3c72c85 |
14 | 3cc8703c100c0 |
15 | 1aa820d2709ac |
hex | ca33a8bb74f8 |
222323223000312 has 320 divisors, whose sum is σ = 724225827568320. Its totient is φ = 62406970048512.
The previous prime is 222323223000301. The next prime is 222323223000341. The reversal of 222323223000312 is 213000322323222.
222323223000312 is a `hidden beast` number, since 2 + 2 + 2 + 3 + 2 + 322 + 300 + 0 + 31 + 2 = 666.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 83793648 + ... + 86406144.
It is an arithmetic number, because the mean of its divisors is an integer number (2263205711151).
Almost surely, 2222323223000312 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 222323223000312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362112913784160).
222323223000312 is an abundant number, since it is smaller than the sum of its proper divisors (501902604568008).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
222323223000312 is a wasteful number, since it uses less digits than its factorization.
222323223000312 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2612852 (or 2612839 counting only the distinct ones).
The product of its (nonzero) digits is 10368, while the sum is 27.
Adding to 222323223000312 its reverse (213000322323222), we get a palindrome (435323545323534).
The spelling of 222323223000312 in words is "two hundred twenty-two trillion, three hundred twenty-three billion, two hundred twenty-three million, three hundred twelve", and thus it is an aban number.
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