Base | Representation |
---|---|
bin | 1101001000110000001… |
… | …0100101010000011010 |
3 | 210120112120101110001020 |
4 | 3102030002211100122 |
5 | 12144202033132042 |
6 | 251402440303310 |
7 | 22206516350622 |
oct | 3221402452032 |
9 | 716476343036 |
10 | 225687786522 |
11 | 87793965440 |
12 | 378a6471b36 |
13 | 183891a9863 |
14 | accd943882 |
15 | 5d0d7053ec |
hex | 348c0a541a |
225687786522 has 128 divisors (see below), whose sum is σ = 516443551488. Its totient is φ = 65144217600.
The previous prime is 225687786481. The next prime is 225687786529.
225687786522 is nontrivially palindromic in base 10.
It is not an unprimeable number, because it can be changed into a prime (225687786529) by changing a digit.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24417822 + ... + 24427062.
It is an arithmetic number, because the mean of its divisors is an integer number (4034715246).
Almost surely, 2225687786522 is an apocalyptic number.
225687786522 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 225687786522, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258221775744).
225687786522 is an abundant number, since it is smaller than the sum of its proper divisors (290755764966).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
225687786522 is a wasteful number, since it uses less digits than its factorization.
225687786522 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 9504.
The product of its digits is 45158400, while the sum is 60.
It can be divided in two parts, 2256 and 87786522, that added together give a palindrome (87788778).
The spelling of 225687786522 in words is "two hundred twenty-five billion, six hundred eighty-seven million, seven hundred eighty-six thousand, five hundred twenty-two".
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