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220311 = 32713269
BaseRepresentation
bin110101110010010111
3102012012200
4311302113
524022221
64415543
71605210
oct656227
9365180
10220311
11140583
12a75b3
1379380
145a407
1545426
hex35c97

220311 has 24 divisors (see below), whose sum is σ = 393120. Its totient is φ = 115776.

The previous prime is 220307. The next prime is 220327. The reversal of 220311 is 113022.

It is a happy number.

It is not a de Polignac number, because 220311 - 22 = 220307 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 220293 and 220302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220301) 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 23 ways as a sum of consecutive naturals, for example, 685 + ... + 953.

It is an arithmetic number, because the mean of its divisors is an integer number (16380).

2220311 is an apocalyptic number.

220311 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

220311 is a deficient number, since it is larger than the sum of its proper divisors (172809).

220311 is a wasteful number, since it uses less digits than its factorization.

220311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 220311 is about 469.3729860143. The cubic root of 220311 is about 60.3965401582.

Adding to 220311 its reverse (113022), we get a palindrome (333333).

The spelling of 220311 in words is "two hundred twenty thousand, three hundred eleven", and thus it is an iban number.

Divisors: 1 3 7 9 13 21 39 63 91 117 269 273 807 819 1883 2421 3497 5649 10491 16947 24479 31473 73437 220311