Base | Representation |
---|---|
bin | 1010001100111000110000… |
… | …11000011000111111010000 |
3 | 2221102120112221220211101101 |
4 | 11012130120120120333100 |
5 | 10420020312421442000 |
6 | 115413331045514144 |
7 | 4503506141211061 |
oct | 506343030307720 |
9 | 87376487824341 |
10 | 22433023234000 |
11 | 7169878873745 |
12 | 2623806112954 |
13 | c6956a9a9192 |
14 | 577a9aa4c568 |
15 | 28d8039b8e6a |
hex | 146718618fd0 |
22433023234000 has 160 divisors (see below), whose sum is σ = 57440284720416. Its totient is φ = 8444422553600.
The previous prime is 22433023233997. The next prime is 22433023234021. The reversal of 22433023234000 is 43232033422.
It can be written as a sum of positive squares in 16 ways, for example, as 13113581927824 + 9319441306176 = 3621268^2 + 3052776^2 .
It is a self number, because there is not a number n which added to its sum of digits gives 22433023234000.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 350610012 + ... + 350673988.
Almost surely, 222433023234000 is an apocalyptic number.
22433023234000 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 22433023234000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28720142360208).
22433023234000 is an abundant number, since it is smaller than the sum of its proper divisors (35007261486416).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22433023234000 is a wasteful number, since it uses less digits than its factorization.
22433023234000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 74330 (or 74314 counting only the distinct ones).
The product of its (nonzero) digits is 20736, while the sum is 28.
Adding to 22433023234000 its reverse (43232033422), we get a palindrome (22476255267422).
The spelling of 22433023234000 in words is "twenty-two trillion, four hundred thirty-three billion, twenty-three million, two hundred thirty-four thousand".
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