Base | Representation |
---|---|
bin | 1000110011101010… |
… | …1101100100000000 |
3 | 20002202122212101000 |
4 | 2030322231210000 |
5 | 14320213414331 |
6 | 1030333012000 |
7 | 112405243626 |
oct | 21472554400 |
9 | 6082585330 |
10 | 2364201216 |
11 | 1003591403 |
12 | 55b924000 |
13 | 2b8a63440 |
14 | 185dc1516 |
15 | dc8540e6 |
hex | 8cead900 |
2364201216 has 288 divisors, whose sum is σ = 7643905920. Its totient is φ = 716414976.
The previous prime is 2364201199. The next prime is 2364201241. The reversal of 2364201216 is 6121024632.
2364201216 is a `hidden beast` number, since 2 + 3 + 642 + 0 + 1 + 2 + 16 = 666.
It is a tau number, because it is divible by the number of its divisors (288).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a self number, because there is not a number n which added to its sum of digits gives 2364201216.
It is an unprimeable number.
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 31 ways as a sum of consecutive naturals, for example, 7457890 + ... + 7458206.
It is an arithmetic number, because the mean of its divisors is an integer number (26541340).
Almost surely, 22364201216 is an apocalyptic number.
2364201216 is a gapful number since it is divisible by the number (26) 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 2364201216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3821952960).
2364201216 is an abundant number, since it is smaller than the sum of its proper divisors (5279704704).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2364201216 is a wasteful number, since it uses less digits than its factorization.
2364201216 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 438 (or 418 counting only the distinct ones).
The product of its (nonzero) digits is 3456, while the sum is 27.
The square root of 2364201216 is about 48623.0523106067. The cubic root of 2364201216 is about 1332.1756119407.
Adding to 2364201216 its reverse (6121024632), we get a palindrome (8485225848).
The spelling of 2364201216 in words is "two billion, three hundred sixty-four million, two hundred one thousand, two hundred sixteen".
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