Search a number
-
+
220205011 = 1347734937
BaseRepresentation
bin11010010000000…
…00111111010011
3120100100120111011
431020000333103
5422333030021
633503431351
75312466055
oct1510007723
9510316434
10220205011
11103333314
12618b5557
133680cb30
14213618d5
15144eade1
hexd200fd3

220205011 has 16 divisors (see below), whose sum is σ = 245556864. Its totient is φ = 196176384.

The previous prime is 220204939. The next prime is 220205017. The reversal of 220205011 is 110502022.

It is a cyclic number.

It is not a de Polignac number, because 220205011 - 217 = 220073939 is a prime.

It is a super-3 number, since 3×2202050113 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 220204982 and 220205000.

It is not an unprimeable number, because it can be changed into a prime (220205017) 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 15 ways as a sum of consecutive naturals, for example, 42135 + ... + 47071.

It is an arithmetic number, because the mean of its divisors is an integer number (15347304).

Almost surely, 2220205011 is an apocalyptic number.

220205011 is a deficient number, since it is larger than the sum of its proper divisors (25351853).

220205011 is a wasteful number, since it uses less digits than its factorization.

220205011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5070.

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 220205011 is about 14839.3062843247. The cubic root of 220205011 is about 603.8685325244.

Adding to 220205011 its reverse (110502022), we get a palindrome (330707033).

The spelling of 220205011 in words is "two hundred twenty million, two hundred five thousand, eleven".

Divisors: 1 13 47 73 611 949 3431 4937 44603 64181 232039 360401 3016507 4685213 16938847 220205011