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220223321 = 17235310627
BaseRepresentation
bin11010010000001…
…01011101011001
3120100101111121022
431020011131121
5422334121241
633504052225
75312603333
oct1510053531
9510344538
10220223321
1110334604a
1261904075
1336818276
1421368453
151450154b
hexd205759

220223321 has 16 divisors (see below), whose sum is σ = 247929984. Its totient is φ = 194498304.

The previous prime is 220223309. The next prime is 220223447. The reversal of 220223321 is 123322022.

It is not a de Polignac number, because 220223321 - 214 = 220206937 is a prime.

It is a super-2 number, since 2×2202233212 = 96996622224538082, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 220223321.

It is not an unprimeable number, because it can be changed into a prime (220223821) 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, 15410 + ... + 26036.

It is an arithmetic number, because the mean of its divisors is an integer number (15495624).

Almost surely, 2220223321 is an apocalyptic number.

It is an amenable number.

220223321 is a deficient number, since it is larger than the sum of its proper divisors (27706663).

220223321 is a wasteful number, since it uses less digits than its factorization.

220223321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10720.

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 220223321 is about 14839.9232140871. The cubic root of 220223321 is about 603.8852692406.

Adding to 220223321 its reverse (123322022), we get a palindrome (343545343).

The spelling of 220223321 in words is "two hundred twenty million, two hundred twenty-three thousand, three hundred twenty-one".

Divisors: 1 17 23 53 391 901 1219 10627 20723 180659 244421 563231 4155157 9574927 12954313 220223321