Base | Representation |
---|---|
bin | 100000010000101… |
… | …000110001011100 |
3 | 1101201102110000210 |
4 | 200100220301130 |
5 | 2102023412340 |
6 | 125412252420 |
7 | 16261253334 |
oct | 4020506134 |
9 | 1351373023 |
10 | 541232220 |
11 | 258569861 |
12 | 131311110 |
13 | 88190769 |
14 | 51c4a0c4 |
15 | 327b0180 |
hex | 20428c5c |
541232220 has 96 divisors (see below), whose sum is σ = 1589555520. Its totient is φ = 137410560.
The previous prime is 541232117. The next prime is 541232261. The reversal of 541232220 is 22232145.
It is a super-2 number, since 2×5412322202 = 585864631932256800, which contains 22 as substring.
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, 124890 + ... + 129150.
It is an arithmetic number, because the mean of its divisors is an integer number (16557870).
Almost surely, 2541232220 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 541232220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794777760).
541232220 is an abundant number, since it is smaller than the sum of its proper divisors (1048323300).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
541232220 is a wasteful number, since it uses less digits than its factorization.
541232220 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4375 (or 4373 counting only the distinct ones).
The product of its (nonzero) digits is 960, while the sum is 21.
The square root of 541232220 is about 23264.3981224531. The cubic root of 541232220 is about 814.9442143808.
Adding to 541232220 its reverse (22232145), we get a palindrome (563464365).
The spelling of 541232220 in words is "five hundred forty-one million, two hundred thirty-two thousand, two hundred twenty".
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