22842 has 24 divisors (see below), whose sum is σ = 52416. Its totient is φ = 7452.

The previous prime is 22817. The next prime is 22853. The reversal of 22842 is 24822.

It is a Harshad number since it is a multiple of its sum of digits (18).

Its product of digits (256) is a multiple of the sum of its prime factors (64).

It is a nialpdrome in base 13.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 463 + ... + 509.

It is an arithmetic number, because the mean of its divisors is an integer number (2184).

2^{22842} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26208).

22842 is an abundant number, since it is smaller than the sum of its proper divisors (29574).

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

22842 is an equidigital number, since it uses as much as digits as its factorization.

22842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 52 counting only the distinct ones).

The product of its digits is 256, while the sum is 18.

The square root of 22842 is about 151.1357006137. The cubic root of 22842 is about 28.3733996782.

The spelling of 22842 in words is "twenty-two thousand, eight hundred forty-two".

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