Base | Representation |
---|---|
bin | 100000010010110010010… |
… | …001111100010000000000 |
3 | 21212011010110100112002011 |
4 | 200102302101330100000 |
5 | 242324402202004131 |
6 | 4415252252502304 |
7 | 316221462141304 |
oct | 40226221742000 |
9 | 7764113315064 |
10 | 2219194172416 |
11 | 78617828a8a1 |
12 | 2ba11777a994 |
13 | 131366317900 |
14 | 795a3c11d04 |
15 | 3cad65940b1 |
hex | 204b247c400 |
2219194172416 has 99 divisors (see below), whose sum is σ = 4805060594943. Its totient is φ = 1023957442560.
The previous prime is 2219194172411. The next prime is 2219194172423. The reversal of 2219194172416 is 6142714919122.
The square root of 2219194172416 is 1489696.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in 4 ways, for example, as 7715865600 + 2211478306816 = 87840^2 + 1487104^2 .
It is a Duffinian number.
It is a self number, because there is not a number n which added to its sum of digits gives 2219194172416.
It is not an unprimeable number, because it can be changed into a prime (2219194172411) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 619711746 + ... + 619715326.
Almost surely, 22219194172416 is an apocalyptic number.
2219194172416 is a gapful number since it is divisible by the number (26) formed by its first and last digit.
2219194172416 is the 1489696-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2219194172416
2219194172416 is an abundant number, since it is smaller than the sum of its proper divisors (2585866422527).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2219194172416 is an frugal number, since it uses more digits than its factorization.
2219194172416 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7208 (or 3596 counting only the distinct ones).
The product of its digits is 435456, while the sum is 49.
Multiplying 2219194172416 by its sum of digits (49), we get a square (108740514448384 = 104278722).
The spelling of 2219194172416 in words is "two trillion, two hundred nineteen billion, one hundred ninety-four million, one hundred seventy-two thousand, four hundred sixteen".
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