222225120 has 240 divisors, whose sum is σ = 845238240. Its totient is φ = 54660096.

The previous prime is 222225061. The next prime is 222225137. The reversal of 222225120 is 21522222.

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 = 222225093 and 222225102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 167821 + ... + 169139.

It is an arithmetic number, because the mean of its divisors is an integer number (3521826).

Almost surely, 2^222225120 is an apocalyptic number.

222225120 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 222225120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422619120).

222225120 is an abundant number, since it is smaller than the sum of its proper divisors (623013120).

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

222225120 is a wasteful number, since it uses less digits than its factorization.

222225120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1359 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 222225120 is about 14907.2170441032. The cubic root of 222225120 is about 605.7094970718.

Adding to 222225120 its reverse (21522222), we get a palindrome (243747342).

The spelling of 222225120 in words is "two hundred twenty-two million, two hundred twenty-five thousand, one hundred twenty".