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22888 = 232861
BaseRepresentation
bin101100101101000
31011101201
411211220
51213023
6253544
7123505
oct54550
934351
1022888
1116218
12112b4
13a558
1484ac
156bad
hex5968

22888 has 8 divisors (see below), whose sum is σ = 42930. Its totient is φ = 11440.

The previous prime is 22877. The next prime is 22901. The reversal of 22888 is 88822.

It can be written as a sum of positive squares in only one way, i.e., 19044 + 3844 = 138^2 + 62^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 10.

It is a zygodrome in base 10.

It is an unprimeable number.

22888 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 as a sum of consecutive naturals, namely, 1423 + ... + 1438.

222888 is an apocalyptic number.

It is an amenable number.

22888 is a deficient number, since it is larger than the sum of its proper divisors (20042).

22888 is a wasteful number, since it uses less digits than its factorization.

22888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2867 (or 2863 counting only the distinct ones).

The product of its digits is 2048, while the sum is 28.

The square root of 22888 is about 151.2878051926. The cubic root of 22888 is about 28.3924333475.

It can be divided in two parts, 2 and 2888, that multiplied together give a square (5776 = 762).

The spelling of 22888 in words is "twenty-two thousand, eight hundred eighty-eight".

Divisors: 1 2 4 8 2861 5722 11444 22888