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220340 = 22523479
BaseRepresentation
bin110101110010110100
3102012020202
4311302310
524022330
64420032
71605251
oct656264
9365222
10220340
111405aa
12a7618
13793a3
145a428
1545445
hex35cb4

220340 has 24 divisors (see below), whose sum is σ = 483840. Its totient is φ = 84128.

The previous prime is 220333. The next prime is 220351. The reversal of 220340 is 43022.

It is a super-3 number, since 3×2203403 = 32092333005912000, which contains 333 as substring.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 220340.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 221 + ... + 699.

It is an arithmetic number, because the mean of its divisors is an integer number (20160).

2220340 is an apocalyptic number.

220340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241920).

220340 is an abundant number, since it is smaller than the sum of its proper divisors (263500).

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

220340 is a wasteful number, since it uses less digits than its factorization.

220340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 220340 is about 469.4038772741. The cubic root of 220340 is about 60.3991900831.

Adding to 220340 its reverse (43022), we get a palindrome (263362).

The spelling of 220340 in words is "two hundred twenty thousand, three hundred forty", and thus it is an iban number.

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 479 958 1916 2395 4790 9580 11017 22034 44068 55085 110170 220340