22050 has 54 divisors (see below), whose sum is σ = 68913. Its totient is φ = 5040.

The previous prime is 22039. The next prime is 22051. The reversal of 22050 is 5022.

It can be written as a sum of positive squares in 2 ways, for example, as 21609 + 441 = 147^2 + 21^2 .

It is an ABA number since it can be written as A⋅B^{A}, here for A=2, B=105.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (22051) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3147 + ... + 3153.

2^{22050} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22050

22050 is an abundant number, since it is smaller than the sum of its proper divisors (46863).

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

22050 is a wasteful number, since it uses less digits than its factorization.

22050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 9.

The square root of 22050 is about 148.4924240492. The cubic root of 22050 is about 28.0416048160.

Adding to 22050 its reverse (5022), we get a palindrome (27072).

The spelling of 22050 in words is "twenty-two thousand, fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 35 42 45 49 50 63 70 75 90 98 105 126 147 150 175 210 225 245 294 315 350 441 450 490 525 630 735 882 1050 1225 1470 1575 2205 2450 3150 3675 4410 7350 11025 22050

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