22222 has 8 divisors (see below), whose sum is σ = 34272. Its totient is φ = 10800.

The previous prime is 22193. The next prime is 22229.

22222 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

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

22222 is a modest number, since divided by 222 gives 22 as remainder.

22222 is a nontrivial repdigit in base 10.

It is a plaindrome in base 10 and base 16.

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 22199 and 22208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22229) by changing a digit.

It is a Kaprekar number, because its square (493817284) can be partitioned into two parts whose sum is 22222.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 54 + ... + 217.

It is an arithmetic number, because the mean of its divisors is an integer number (4284).

2^{22222} is an apocalyptic number.

22222 is a deficient number, since it is larger than the sum of its proper divisors (12050).

22222 is a wasteful number, since it uses less digits than its factorization.

22222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314.

The product of its digits is 32, while the sum is 10.

The square root of 22222 is about 149.0704531421. The cubic root of 22222 is about 28.1143284617.

The spelling of 22222 in words is "twenty-two thousand, two hundred twenty-two", and is thus an iban number.

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