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220413321 = 3259443937
BaseRepresentation
bin11010010001100…
…11110110001001
3120100202011020100
431020303312021
5422411211241
633512120013
75314324302
oct1510636611
9510664210
10220413321
11103465877
1261996009
13368838ab
14213b77a9
151453c9b6
hexd233d89

220413321 has 24 divisors (see below), whose sum is σ = 324848160. Its totient is φ = 143971776.

The previous prime is 220413307. The next prime is 220413331. The reversal of 220413321 is 123314022.

220413321 is a `hidden beast` number, since 220 + 413 + 32 + 1 = 666.

220413321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 220413321 - 25 = 220413289 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 220413294 and 220413303.

It is not an unprimeable number, because it can be changed into a prime (220413331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 234765 + ... + 235701.

It is an arithmetic number, because the mean of its divisors is an integer number (13535340).

Almost surely, 2220413321 is an apocalyptic number.

It is an amenable number.

220413321 is a deficient number, since it is larger than the sum of its proper divisors (104434839).

220413321 is a wasteful number, since it uses less digits than its factorization.

220413321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1445 (or 1442 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 220413321 is about 14846.3234842839. The cubic root of 220413321 is about 604.0588887878.

Adding to 220413321 its reverse (123314022), we get a palindrome (343727343).

The spelling of 220413321 in words is "two hundred twenty million, four hundred thirteen thousand, three hundred twenty-one".

Divisors: 1 3 9 59 177 443 531 937 1329 2811 3987 8433 26137 55283 78411 165849 235233 415091 497547 1245273 3735819 24490369 73471107 220413321