222585216 has 128 divisors (see below), whose sum is σ = 715599360. Its totient is φ = 59842560.

The previous prime is 222585211. The next prime is 222585217. The reversal of 222585216 is 612585222.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222585211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43261 + ... + 48131.

It is an arithmetic number, because the mean of its divisors is an integer number (5590620).

Almost surely, 2^222585216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222585216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357799680).

222585216 is an abundant number, since it is smaller than the sum of its proper divisors (493014144).

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

222585216 is a wasteful number, since it uses less digits than its factorization.

222585216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4912 (or 4900 counting only the distinct ones).

The product of its digits is 19200, while the sum is 33.

The square root of 222585216 is about 14919.2900635385. The cubic root of 222585216 is about 606.0364866005.

The spelling of 222585216 in words is "two hundred twenty-two million, five hundred eighty-five thousand, two hundred sixteen".