Base | Representation |
---|---|
bin | 10100100111001100… |
… | …001101111001110000 |
3 | 2010010102220220100000 |
4 | 110213030031321300 |
5 | 330311340204301 |
6 | 14100101030000 |
7 | 1412313606300 |
oct | 244714157160 |
9 | 63112826300 |
10 | 22132350576 |
11 | 9428153626 |
12 | 43580b5300 |
13 | 21193b163b |
14 | 10dd593600 |
15 | 898073786 |
hex | 52730de70 |
22132350576 has 360 divisors, whose sum is σ = 77985258624. Its totient is φ = 6047395200.
The previous prime is 22132350547. The next prime is 22132350577. The reversal of 22132350576 is 67505323122.
22132350576 is a `hidden beast` number, since 2 + 2 + 1 + 32 + 3 + 50 + 576 = 666.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 22132350576.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (22132350577) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4379251 + ... + 4384301.
Almost surely, 222132350576 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 22132350576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38992629312).
22132350576 is an abundant number, since it is smaller than the sum of its proper divisors (55852908048).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22132350576 is a wasteful number, since it uses less digits than its factorization.
22132350576 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5111 (or 5086 counting only the distinct ones).
The product of its (nonzero) digits is 75600, while the sum is 36.
Adding to 22132350576 its reverse (67505323122), we get a palindrome (89637673698).
The spelling of 22132350576 in words is "twenty-two billion, one hundred thirty-two million, three hundred fifty thousand, five hundred seventy-six".
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