Search a number
2322 = 23343
BaseRepresentation
bin100100010010
310012000
4210102
533242
614430
76525
oct4422
93160
102322
111821
121416
131098
14bbc
15a4c
hex912

2322 has 16 divisors (see below), whose sum is σ = 5280. Its totient is φ = 756.

The previous prime is 2311. The next prime is 2333. The reversal of 2322 is 2232.

Adding to 2322 its product of digits (24), we get a triangular number (2346 = T68).

Adding to 2322 its reverse (2232), we get a palindrome (4554).

It can be divided in two parts, 232 and 2, that multiplied together give a palindrome (464).

It is an interprime number because it is at equal distance from previous prime (2311) and next prime (2333).

It is a Harshad number since it is a multiple of its sum of digits (9).

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

It is a plaindrome in base 14.

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

It is an unprimeable number.

2322 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33 + ... + 75.

It is an arithmetic number, because the mean of its divisors is an integer number (330).

22322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2640).

2322 is an abundant number, since it is smaller than the sum of its proper divisors (2958).

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

2322 is a wasteful number, since it uses less digits than its factorization.

2322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 48 counting only the distinct ones).

The product of its digits is 24, while the sum is 9.

The square root of 2322 is about 48.1871352126. The cubic root of 2322 is about 13.2420148873.

The spelling of 2322 in words is "two thousand, three hundred twenty-two", and thus it is an iban number.

Divisors: 1 2 3 6 9 18 27 43 54 86 129 258 387 774 1161 2322