| Base | Representation |
|---|---|
| bin | 1010000111111101000010… |
| … | …11001010010100001010000 |
| 3 | 2220211101001012210211001020 |
| 4 | 11003332201121102201100 |
| 5 | 10404231143423201100 |
| 6 | 115203415453035440 |
| 7 | 4455325601162136 |
| oct | 503764131224120 |
| 9 | 86741035724036 |
| 10 | 22263523256400 |
| 11 | 71039a8518828 |
| 12 | 25b69a0a85b80 |
| 13 | c5659751444a |
| 14 | 56d7bb575756 |
| 15 | 2891d2edd5a0 |
| hex | 143fa1652850 |
22263523256400 has 240 divisors, whose sum is σ = 73163697372480. Its totient is φ = 5783958835200.
The previous prime is 22263523256393. The next prime is 22263523256407. The reversal of 22263523256400 is 465232536222.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (22263523256393) and next prime (22263523256407).
It is a tau number, because it is divible by the number of its divisors (240).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (22263523256407) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19517820 + ... + 20626980.
It is an arithmetic number, because the mean of its divisors is an integer number (304848739052).
Almost surely, 222263523256400 is an apocalyptic number.
22263523256400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 22263523256400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36581848686240).
22263523256400 is an abundant number, since it is smaller than the sum of its proper divisors (50900174116080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22263523256400 is a wasteful number, since it uses less digits than its factorization.
22263523256400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1109614 (or 1109603 counting only the distinct ones).
The product of its (nonzero) digits is 1036800, while the sum is 42.
The spelling of 22263523256400 in words is "twenty-two trillion, two hundred sixty-three billion, five hundred twenty-three million, two hundred fifty-six thousand, four hundred".
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