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220405041 = 3237661877
BaseRepresentation
bin11010010001100…
…01110100110001
3120100201201212200
431020301310301
5422410430131
633512013413
75314261203
oct1510616461
9510651780
10220405041
1110345a62a
1261991269
133687cbac
14213b4773
151453a2e6
hexd231d31

220405041 has 12 divisors (see below), whose sum is σ = 326967732. Its totient is φ = 142965216.

The previous prime is 220405019. The next prime is 220405063. The reversal of 220405041 is 140504022.

220405041 is a `hidden beast` number, since 220 + 405 + 0 + 41 = 666.

It is an interprime number because it is at equal distance from previous prime (220405019) and next prime (220405063).

It can be written as a sum of positive squares in 2 ways, for example, as 204604416 + 15800625 = 14304^2 + 3975^2 .

It is not a de Polignac number, because 220405041 - 213 = 220396849 is a prime.

It is not an unprimeable number, because it can be changed into a prime (220405001) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 330606 + ... + 331271.

It is an arithmetic number, because the mean of its divisors is an integer number (27247311).

Almost surely, 2220405041 is an apocalyptic number.

It is an amenable number.

220405041 is a deficient number, since it is larger than the sum of its proper divisors (106562691).

220405041 is a wasteful number, since it uses less digits than its factorization.

220405041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661920 (or 661917 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 220405041 is about 14846.0446247477. The cubic root of 220405041 is about 604.0513247104.

Adding to 220405041 its reverse (140504022), we get a palindrome (360909063).

The spelling of 220405041 in words is "two hundred twenty million, four hundred five thousand, forty-one".

Divisors: 1 3 9 37 111 333 661877 1985631 5956893 24489449 73468347 220405041