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22148 = 2272113

22148 has 18 divisors (see below), whose sum is σ = 45486. Its totient is φ = 9408.

The previous prime is 22147. The next prime is 22153. The reversal of 22148 is 84122.

It can be written as a sum of positive squares in only one way, i.e., 12544 + 9604 = 112^2 + 98^2 .

22148 is an undulating number in base 15.

It is a plaindrome in base 9.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (22147) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 140 + ... + 252.

It is an arithmetic number, because the mean of its divisors is an integer number (2527).

222148 is an apocalyptic number.

22148 is a gapful number since it is divisible by the number (28) 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 22148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22743).

22148 is an abundant number, since it is smaller than the sum of its proper divisors (23338).

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

22148 is a wasteful number, since it uses less digits than its factorization.

22148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 122 counting only the distinct ones).

The product of its digits is 128, while the sum is 17.

The square root of 22148 is about 148.8220413783. The cubic root of 22148 is about 28.0830865404.

It can be divided in two parts, 2214 and 8, that added together give a palindrome (2222).

The spelling of 22148 in words is "twenty-two thousand, one hundred forty-eight".

Divisors: 1 2 4 7 14 28 49 98 113 196 226 452 791 1582 3164 5537 11074 22148