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22275 = 345211
BaseRepresentation
bin101011100000011
31010120000
411130003
51203100
6251043
7121641
oct53403
933500
1022275
1115810
1210a83
13a1a6
148191
156900
hex5703

22275 has 30 divisors (see below), whose sum is σ = 45012. Its totient is φ = 10800.

The previous prime is 22273. The next prime is 22277. The reversal of 22275 is 57222.

It is a happy number.

22275 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (22273) and next prime (22277).

It is not a de Polignac number, because 22275 - 21 = 22273 is a prime.

22275 is strictly pandigital in base 6.

It is not an unprimeable number, because it can be changed into a prime (22271) by changing a digit.

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 in 29 ways as a sum of consecutive naturals, for example, 2020 + ... + 2030.

222275 is an apocalyptic number.

22275 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

22275 is the 75-th decagonal number.

22275 is an abundant number, since it is smaller than the sum of its proper divisors (22737).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22506).

22275 is a wasteful number, since it uses less digits than its factorization.

22275 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33 (or 19 counting only the distinct ones).

The product of its digits is 280, while the sum is 18.

The square root of 22275 is about 149.2481155660. The cubic root of 22275 is about 28.1366618305.

Adding to 22275 its reverse (57222), we get a palindrome (79497).

The spelling of 22275 in words is "twenty-two thousand, two hundred seventy-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 55 75 81 99 135 165 225 275 297 405 495 675 825 891 1485 2025 2475 4455 7425 22275