Base | Representation |
---|---|
bin | 110010100001101100110011… |
… | …001101000000101001000000 |
3 | 1002010210211221111000010210021 |
4 | 302201230303031000221000 |
5 | 213111310304011220011 |
6 | 2104341341403143224 |
7 | 64543506313133221 |
oct | 6241546315005100 |
9 | 1063724844003707 |
10 | 222218171976256 |
11 | 64895219957065 |
12 | 20b0b454214b14 |
13 | 96cc111b7b401 |
14 | 3cc35ba009248 |
15 | 1aa56108a1471 |
hex | ca1b33340a40 |
222218171976256 has 189 divisors, whose sum is σ = 452972858058441. Its totient is φ = 108163167810048.
The previous prime is 222218171976239. The next prime is 222218171976259. The reversal of 222218171976256 is 652679171812222.
The square root of 222218171976256 is 14906984.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in only one way, i.e., 206963210798656 + 15254961177600 = 14386216^2 + 3905760^2 .
It is a Duffinian number.
It is a junction number, because it is equal to n+sod(n) for n = 222218171976194 and 222218171976203.
It is not an unprimeable number, because it can be changed into a prime (222218171976259) by changing a digit.
It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 970385030350 + ... + 970385030578.
It is an arithmetic number, because the mean of its divisors is an integer number (2396681788669).
Almost surely, 2222218171976256 is an apocalyptic number.
222218171976256 is the 14906984-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 222218171976256
222218171976256 is an abundant number, since it is smaller than the sum of its proper divisors (230754686082185).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
222218171976256 is an frugal number, since it uses more digits than its factorization.
222218171976256 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 834 (or 413 counting only the distinct ones).
The product of its digits is 20321280, while the sum is 61.
The spelling of 222218171976256 in words is "two hundred twenty-two trillion, two hundred eighteen billion, one hundred seventy-one million, nine hundred seventy-six thousand, two hundred fifty-six".
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