22000 has 40 divisors (see below), whose sum is σ = 58032. Its totient is φ = 8000.

The previous prime is 21997. The next prime is 22003. The reversal of 22000 is 22.

Adding to 22000 its reverse (22), we get a palindrome (22022).

22000 divided by its reverse (22) gives a cube (1000 = 10^{3}).

It can be divided in two parts, 2 and 2000, that added together give a palindrome (2002).

22000 = 8^{2} + 9^{2} + ... + 40^{2}.

It is an interprime number because it is at equal distance from previous prime (21997) and next prime (22003).

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (4).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 10.

It is a zygodrome in base 4 and base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1995 + ... + 2005.

2^{22000} is an apocalyptic number.

22000 is a gapful number since it is divisible by the number (20) 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 22000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29016).

22000 is an abundant number, since it is smaller than the sum of its proper divisors (36032).

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

22000 is a wasteful number, since it uses less digits than its factorization.

22000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 4.

The square root of 22000 is about 148.3239697419. The cubic root of 22000 is about 28.0203933066.

The spelling of 22000 in words is "twenty-two thousand", and thus it is an iban number.

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 4400 5500 11000 22000

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