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22881 = 329263
BaseRepresentation
bin101100101100001
31011101110
411211201
51213011
6253533
7123465
oct54541
934343
1022881
1116211
12112a9
13a551
1484a5
156ba6
hex5961

22881 has 8 divisors (see below), whose sum is σ = 31680. Its totient is φ = 14672.

The previous prime is 22877. The next prime is 22901. The reversal of 22881 is 18822.

22881 is nontrivially palindromic in base 9.

22881 is an esthetic number in base 9, because in such base its adjacent digits differ by 1.

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

It is a cyclic number.

It is not a de Polignac number, because 22881 - 22 = 22877 is a prime.

It is a super-2 number, since 2×228812 = 1047080322, which contains 22 as substring.

22881 is an undulating number in base 9.

It is a Curzon number.

22881 is a lucky number.

It is a nialpdrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 22881.

It is not an unprimeable number, because it can be changed into a prime (22811) 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, 45 + ... + 218.

It is an arithmetic number, because the mean of its divisors is an integer number (3960).

222881 is an apocalyptic number.

It is an amenable number.

22881 is a deficient number, since it is larger than the sum of its proper divisors (8799).

22881 is a wasteful number, since it uses less digits than its factorization.

22881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295.

The product of its digits is 256, while the sum is 21.

The square root of 22881 is about 151.2646687102. The cubic root of 22881 is about 28.3895385657.

It can be divided in two parts, 22 and 881, that added together give a triangular number (903 = T42).

The spelling of 22881 in words is "twenty-two thousand, eight hundred eighty-one".

Divisors: 1 3 29 87 263 789 7627 22881