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2922 = 23487
BaseRepresentation
bin101101101010
311000020
4231222
543142
621310
711343
oct5552
94006
102922
112217
121836
13143a
1410ca
15cec
hexb6a

2922 has 8 divisors (see below), whose sum is σ = 5856. Its totient is φ = 972.

The previous prime is 2917. The next prime is 2927. The reversal of 2922 is 2292.

2922 is nontrivially palindromic in base 15.

It is an interprime number because it is at equal distance from previous prime (2917) and next prime (2927).

It is a sphenic number, since it is the product of 3 distinct primes.

2922 is an admirable number.

2922 is an undulating number in base 15.

It is a nialpdrome in base 8.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 2922.

It is not an unprimeable number, because it can be changed into a prime (2927) by changing a digit.

2922 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 3 ways as a sum of consecutive naturals, for example, 238 + ... + 249.

It is an arithmetic number, because the mean of its divisors is an integer number (732).

2922 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (2928).

2922 is a wasteful number, since it uses less digits than its factorization.

2922 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492.

The product of its digits is 72, while the sum is 15.

The square root of 2922 is about 54.0555270070. The cubic root of 2922 is about 14.2964015266.

Subtracting from 2922 its product of digits (72), we obtain a triangular number (2850 = T75).

Subtracting from 2922 its reverse (2292), we obtain a triangular number (630 = T35).

The spelling of 2922 in words is "two thousand, nine hundred twenty-two".

Divisors: 1 2 3 6 487 974 1461 2922