222106320 has 240 divisors, whose sum is σ = 797895360. Its totient is φ = 56782080.

The previous prime is 222106319. The next prime is 222106327. The reversal of 222106320 is 23601222.

222106320 is a `hidden beast` number, since 2 + 22 + 10 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 222106293 and 222106302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222106327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2075707 + ... + 2075813.

It is an arithmetic number, because the mean of its divisors is an integer number (3324564).

Almost surely, 2^222106320 is an apocalyptic number.

222106320 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 222106320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398947680).

222106320 is an abundant number, since it is smaller than the sum of its proper divisors (575789040).

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

222106320 is a wasteful number, since it uses less digits than its factorization.

222106320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 222106320 is about 14903.2318642635. The cubic root of 222106320 is about 605.6015418072.

Adding to 222106320 its reverse (23601222), we get a palindrome (245707542).

The spelling of 222106320 in words is "two hundred twenty-two million, one hundred six thousand, three hundred twenty".