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22788 = 2233211
BaseRepresentation
bin101100100000100
31011021000
411210010
51212123
6253300
7123303
oct54404
934230
1022788
1116137
1211230
13a4ac
14843a
156b43
hex5904

22788 has 24 divisors (see below), whose sum is σ = 59360. Its totient is φ = 7560.

The previous prime is 22787. The next prime is 22807. The reversal of 22788 is 88722.

22788 is an esthetic number in base 5, because in such base its adjacent digits differ by 1.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (1792) is a multiple of the sum of its prime factors (224).

It is a plaindrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (22783) by changing a digit.

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, 3 + ... + 213.

222788 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29680).

22788 is an abundant number, since it is smaller than the sum of its proper divisors (36572).

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

22788 is a wasteful number, since it uses less digits than its factorization.

22788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 216 counting only the distinct ones).

The product of its digits is 1792, while the sum is 27.

The square root of 22788 is about 150.9569475049. The cubic root of 22788 is about 28.3510231707.

The spelling of 22788 in words is "twenty-two thousand, seven hundred eighty-eight".