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541111220 = 2251313115887
BaseRepresentation
bin100000010000001…
…011001110110100
31101201012022001022
4200100023032310
52102011024340
6125405520312
716260240506
oct4020131664
91351168038
10541111220
11258496961
12131273098
138814a670
1451c17d76
15327893b5
hex2040b3b4

541111220 has 48 divisors (see below), whose sum is σ = 1233163008. Its totient is φ = 198257280.

The previous prime is 541111217. The next prime is 541111267. The reversal of 541111220 is 22111145.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26117 + ... + 42003.

It is an arithmetic number, because the mean of its divisors is an integer number (25690896).

Almost surely, 2541111220 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 541111220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616581504).

541111220 is an abundant number, since it is smaller than the sum of its proper divisors (692051788).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

541111220 is a wasteful number, since it uses less digits than its factorization.

541111220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16040 (or 16038 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 17.

The square root of 541111220 is about 23261.7974369996. The cubic root of 541111220 is about 814.8834791451.

Adding to 541111220 its reverse (22111145), we get a palindrome (563222365).

The spelling of 541111220 in words is "five hundred forty-one million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 131 260 262 524 655 1310 1703 2620 3406 6812 8515 15887 17030 31774 34060 63548 79435 158870 206531 317740 413062 826124 1032655 2065310 2081197 4130620 4162394 8324788 10405985 20811970 27055561 41623940 54111122 108222244 135277805 270555610 541111220