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220221220 = 22511011061
BaseRepresentation
bin11010010000001…
…00111100100100
3120100101101201111
431020010330210
5422334034340
633504034404
75312564242
oct1510047444
9510341644
10220221220
1110334450a
1261902a04
133681731b
1421367792
1514500aea
hexd204f24

220221220 has 12 divisors (see below), whose sum is σ = 462464604. Its totient is φ = 88088480.

The previous prime is 220221193. The next prime is 220221223. The reversal of 220221220 is 22122022.

It can be written as a sum of positive squares in 2 ways, for example, as 25786084 + 194435136 = 5078^2 + 13944^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 220221220.

It is not an unprimeable number, because it can be changed into a prime (220221223) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 5505511 + ... + 5505550.

It is an arithmetic number, because the mean of its divisors is an integer number (38538717).

Almost surely, 2220221220 is an apocalyptic number.

220221220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220221220 is an abundant number, since it is smaller than the sum of its proper divisors (242243384).

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

220221220 is a wasteful number, since it uses less digits than its factorization.

220221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11011070 (or 11011068 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 220221220 is about 14839.8524251422. The cubic root of 220221220 is about 603.8833488158.

Adding to 220221220 its reverse (22122022), we get a palindrome (242343242).

The spelling of 220221220 in words is "two hundred twenty million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 11011061 22022122 44044244 55055305 110110610 220221220