222105320 has 64 divisors (see below), whose sum is σ = 515592000. Its totient is φ = 86059008.

The previous prime is 222105313. The next prime is 222105337. The reversal of 222105320 is 23501222.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 238616 + ... + 239544.

It is an arithmetic number, because the mean of its divisors is an integer number (8056125).

Almost surely, 2^222105320 is an apocalyptic number.

222105320 is a gapful number since it is divisible by the number (20) 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 222105320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257796000).

222105320 is an abundant number, since it is smaller than the sum of its proper divisors (293486680).

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

222105320 is a wasteful number, since it uses less digits than its factorization.

222105320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122 (or 1118 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 222105320 is about 14903.1983144559. The cubic root of 222105320 is about 605.6006329295.

Adding to 222105320 its reverse (23501222), we get a palindrome (245606542).

The spelling of 222105320 in words is "two hundred twenty-two million, one hundred five thousand, three hundred twenty".