Search a number
-
+
22792 = 2371137

22792 has 32 divisors (see below), whose sum is σ = 54720. Its totient is φ = 8640.

The previous prime is 22787. The next prime is 22807. The reversal of 22792 is 29722.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a pancake number, because a pancake can be divided into 22792 parts by 213 straight cuts.

It is a plaindrome in base 12.

It is a nialpdrome in base 8 and base 14.

It is an unprimeable number.

22792 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 (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 598 + ... + 634.

It is an arithmetic number, because the mean of its divisors is an integer number (1710).

222792 is an apocalyptic number.

22792 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27360).

22792 is an abundant number, since it is smaller than the sum of its proper divisors (31928).

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

22792 is a wasteful number, since it uses less digits than its factorization.

22792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 57 counting only the distinct ones).

The product of its digits is 504, while the sum is 22.

The square root of 22792 is about 150.9701957341. The cubic root of 22792 is about 28.3526819013.

The spelling of 22792 in words is "twenty-two thousand, seven hundred ninety-two".

Divisors: 1 2 4 7 8 11 14 22 28 37 44 56 74 77 88 148 154 259 296 308 407 518 616 814 1036 1628 2072 2849 3256 5698 11396 22792