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22260 = 2235753
BaseRepresentation
bin101011011110100
31010112110
411123310
51203020
6251020
7121620
oct53364
933473
1022260
11157a7
1210a70
13a194
148180
1568e0
hex56f4

22260 has 48 divisors (see below), whose sum is σ = 72576. Its totient is φ = 4992.

The previous prime is 22259. The next prime is 22271. The reversal of 22260 is 6222.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 394 + ... + 446.

It is an arithmetic number, because the mean of its divisors is an integer number (1512).

222260 is an apocalyptic number.

22260 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 22260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36288).

22260 is an abundant number, since it is smaller than the sum of its proper divisors (50316).

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

22260 is a wasteful number, since it uses less digits than its factorization.

22260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 22260 is about 149.1978552125. The cubic root of 22260 is about 28.1303446633.

Adding to 22260 its reverse (6222), we get a palindrome (28482).

It can be divided in two parts, 222 and 60, that added together give a palindrome (282).

The spelling of 22260 in words is "twenty-two thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 53 60 70 84 105 106 140 159 210 212 265 318 371 420 530 636 742 795 1060 1113 1484 1590 1855 2226 3180 3710 4452 5565 7420 11130 22260