Base | Representation |
---|---|
bin | 1100111011010… |
… | …1010101000100 |
3 | 10210000122222212 |
4 | 3032311111010 |
5 | 102340020400 |
6 | 5214042552 |
7 | 1225602044 |
oct | 316652504 |
9 | 123018885 |
10 | 54220100 |
11 | 28673400 |
12 | 161a9458 |
13 | b3051cc |
14 | 72b5724 |
15 | 4b60335 |
hex | 33b5544 |
54220100 has 54 divisors (see below), whose sum is σ = 129355002. Its totient is φ = 19712000.
The previous prime is 54220087. The next prime is 54220139. The reversal of 54220100 is 102245.
54220100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 3 ways, for example, as 8305924 + 45914176 = 2882^2 + 6776^2 .
It is a super-5 number, since 5×542201005 (a number of 40 digits) contains 55555 as substring.
It is a congruent number.
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 17 ways as a sum of consecutive naturals, for example, 9860 + ... + 14340.
It is an arithmetic number, because the mean of its divisors is an integer number (2395463).
Almost surely, 254220100 is an apocalyptic number.
54220100 is a gapful number since it is divisible by the number (50) 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 54220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64677501).
54220100 is an abundant number, since it is smaller than the sum of its proper divisors (75134902).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
54220100 is a wasteful number, since it uses less digits than its factorization.
54220100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4517 (or 4499 counting only the distinct ones).
The product of its (nonzero) digits is 80, while the sum is 14.
The square root of 54220100 is about 7363.4299073190. The cubic root of 54220100 is about 378.4891533218.
Adding to 54220100 its reverse (102245), we get a palindrome (54322345).
The spelling of 54220100 in words is "fifty-four million, two hundred twenty thousand, one hundred".
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