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22680 = 233457
BaseRepresentation
bin101100010011000
31011010000
411202120
51211210
6253000
7123060
oct54230
934100
1022680
1116049
1211160
13a428
1483a0
156ac0
hex5898

22680 has 80 divisors (see below), whose sum is σ = 87120. Its totient is φ = 5184.

The previous prime is 22679. The next prime is 22691. The reversal of 22680 is 8622.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3237 + ... + 3243.

It is an arithmetic number, because the mean of its divisors is an integer number (1089).

222680 is an apocalyptic number.

22680 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 22680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43560).

22680 is an abundant number, since it is smaller than the sum of its proper divisors (64440).

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

22680 is a wasteful number, since it uses less digits than its factorization.

22680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 22680 is about 150.5988047761. The cubic root of 22680 is about 28.3061638819.

The spelling of 22680 in words is "twenty-two thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 81 84 90 105 108 120 126 135 140 162 168 180 189 210 216 252 270 280 315 324 360 378 405 420 504 540 567 630 648 756 810 840 945 1080 1134 1260 1512 1620 1890 2268 2520 2835 3240 3780 4536 5670 7560 11340 22680