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2622 = 231923
BaseRepresentation
bin101000111110
310121010
4220332
540442
620050
710434
oct5076
93533
102622
111a74
121626
131269
14d54
15b9c
hexa3e

2622 has 16 divisors (see below), whose sum is σ = 5760. Its totient is φ = 792.

The previous prime is 2621. The next prime is 2633. The reversal of 2622 is 2262.

Adding to 2622 its reverse (2262), we get a palindrome (4884).

2622 is an esthetic number in base 3, because in such base its adjacent digits differ by 1.

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 13.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 2598 and 2607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2621) 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 7 ways as a sum of consecutive naturals, for example, 103 + ... + 125.

It is an arithmetic number, because the mean of its divisors is an integer number (360).

22622 is an apocalyptic number.

2622 is an abundant number, since it is smaller than the sum of its proper divisors (3138).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2880).

2622 is a wasteful number, since it uses less digits than its factorization.

2622 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47.

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

The square root of 2622 is about 51.2054684580. The cubic root of 2622 is about 13.7893637850.

The spelling of 2622 in words is "two thousand, six hundred twenty-two".

Divisors: 1 2 3 6 19 23 38 46 57 69 114 138 437 874 1311 2622