Base | Representation |
---|---|
bin | 10100100111001010… |
… | …111101111101010000 |
3 | 2010010102022021011000 |
4 | 110213022331331100 |
5 | 330311244214440 |
6 | 14100050022000 |
7 | 1412311043514 |
oct | 244712757520 |
9 | 63112267130 |
10 | 22132023120 |
11 | 9427a4a5a9 |
12 | 4357b77900 |
13 | 21192c858c |
14 | 10dd50a144 |
15 | 89800b730 |
hex | 5272bdf50 |
22132023120 has 160 divisors (see below), whose sum is σ = 76360291200. Its totient is φ = 5891982336.
The previous prime is 22132023097. The next prime is 22132023149. The reversal of 22132023120 is 2132023122.
22132023120 is a `hidden beast` number, since 221 + 320 + 2 + 3 + 120 = 666.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 22132023093 and 22132023102.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1328764 + ... + 1345316.
It is an arithmetic number, because the mean of its divisors is an integer number (477251820).
Almost surely, 222132023120 is an apocalyptic number.
22132023120 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 22132023120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38180145600).
22132023120 is an abundant number, since it is smaller than the sum of its proper divisors (54228268080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22132023120 is a wasteful number, since it uses less digits than its factorization.
22132023120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 17194 (or 17182 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
Adding to 22132023120 its reverse (2132023122), we get a palindrome (24264046242).
The spelling of 22132023120 in words is "twenty-two billion, one hundred thirty-two million, twenty-three thousand, one hundred twenty".
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