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22620 = 22351329
BaseRepresentation
bin101100001011100
31011000210
411201130
51210440
6252420
7122643
oct54134
934023
1022620
1115aa4
1211110
13a3b0
14835a
156a80
hex585c

22620 has 48 divisors (see below), whose sum is σ = 70560. Its totient is φ = 5376.

The previous prime is 22619. The next prime is 22621. The reversal of 22620 is 2622.

It is an interprime number because it is at equal distance from previous prime (22619) and next prime (22621).

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

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 22596 and 22605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 766 + ... + 794.

It is an arithmetic number, because the mean of its divisors is an integer number (1470).

222620 is an apocalyptic number.

22620 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 22620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35280).

22620 is an abundant number, since it is smaller than the sum of its proper divisors (47940).

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

22620 is a wasteful number, since it uses less digits than its factorization.

22620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 52 counting only the distinct ones).

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

The square root of 22620 is about 150.3994680842. The cubic root of 22620 is about 28.2811804939.

The spelling of 22620 in words is "twenty-two thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 29 30 39 52 58 60 65 78 87 116 130 145 156 174 195 260 290 348 377 390 435 580 754 780 870 1131 1508 1740 1885 2262 3770 4524 5655 7540 11310 22620