222905 has 8 divisors (see below), whose sum is σ = 270600. Its totient is φ = 176256.

The previous prime is 222883. The next prime is 222913. The reversal of 222905 is 509222.

It can be written as a sum of positive squares in 4 ways, for example, as 85264 + 137641 = 292^2 + 371^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 222905 - 2⁶ = 222841 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 341 + ... + 749.

It is an arithmetic number, because the mean of its divisors is an integer number (33825).

2²²²⁹⁰⁵ is an apocalyptic number.

It is an amenable number.

222905 is a deficient number, since it is larger than the sum of its proper divisors (47695).

222905 is a wasteful number, since it uses less digits than its factorization.

222905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523.

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 222905 is about 472.1281605666. The cubic root of 222905 is about 60.6326574803.

The spelling of 222905 in words is "two hundred twenty-two thousand, nine hundred five".