Base | Representation |
---|---|
bin | 100000001111011001110… |
… | …110100011011100000000 |
3 | 21211210202101212122200000 |
4 | 200033121312203130000 |
5 | 242244433124123430 |
6 | 4413452102400000 |
7 | 316032501513000 |
oct | 40173166433400 |
9 | 7753671778600 |
10 | 2215563114240 |
11 | 784684689073 |
12 | 2b9483730000 |
13 | 130c07c81c88 |
14 | 7933b89a000 |
15 | 3c9728e9e60 |
hex | 203d9da3700 |
2215563114240 has 1728 divisors, whose sum is σ = 9767442048000. Its totient is φ = 479322095616.
The previous prime is 2215563114239. The next prime is 2215563114301. The reversal of 2215563114240 is 424113655122.
2215563114240 is a `hidden beast` number, since 2 + 2 + 1 + 5 + 5 + 631 + 14 + 2 + 4 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (1728).
It is a super-3 number, since 3×22155631142403 (a number of 38 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 2215563114195 and 2215563114204.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2027047134 + ... + 2027048226.
Almost surely, 22215563114240 is an apocalyptic number.
2215563114240 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 2215563114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4883721024000).
2215563114240 is an abundant number, since it is smaller than the sum of its proper divisors (7551878933760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2215563114240 is an equidigital number, since it uses as much as digits as its factorization.
2215563114240 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1169 (or 1129 counting only the distinct ones).
The product of its (nonzero) digits is 57600, while the sum is 36.
Adding to 2215563114240 its reverse (424113655122), we get a palindrome (2639676769362).
The spelling of 2215563114240 in words is "two trillion, two hundred fifteen billion, five hundred sixty-three million, one hundred fourteen thousand, two hundred forty".
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