22122 has 12 divisors (see below), whose sum is σ = 47970. Its totient is φ = 7368.

The previous prime is 22111. The next prime is 22123.

22122 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 12321 + 9801 = 111^2 + 99^2 .

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

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

It is an Ulam number.

It is a plaindrome in base 16.

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (22123) by changing a digit.

22122 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 597 + ... + 632.

2^{22122} is an apocalyptic number.

22122 is an abundant number, since it is smaller than the sum of its proper divisors (25848).

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

22122 is a wasteful number, since it uses less digits than its factorization.

22122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1237 (or 1234 counting only the distinct ones).

The product of its digits is 16, while the sum is 9.

The square root of 22122 is about 148.7346630749. The cubic root of 22122 is about 28.0720931301.

It can be divided in two parts, 221 and 22, that added together give a 5-th power (243 = 3^{5}).

The spelling of 22122 in words is "twenty-two thousand, one hundred twenty-two", and thus it is an iban number.

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