222133320 has 128 divisors (see below), whose sum is σ = 749088000. Its totient is φ = 58544640.

The previous prime is 222133319. The next prime is 222133349. The reversal of 222133320 is 23331222.

It is a happy number.

It is a super-3 number, since 3×222133320³ (a number of 26 digits) contains 333 as substring.

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 = 222133293 and 222133302.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94965 + ... + 97275.

It is an arithmetic number, because the mean of its divisors is an integer number (5852250).

Almost surely, 2^222133320 is an apocalyptic number.

222133320 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 222133320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374544000).

222133320 is an abundant number, since it is smaller than the sum of its proper divisors (526954680).

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

222133320 is a wasteful number, since it uses less digits than its factorization.

222133320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2420 (or 2410 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 222133320 is about 14904.1376805235. The cubic root of 222133320 is about 605.6260804743.

Adding to 222133320 its reverse (23331222), we get a palindrome (245464542).

The spelling of 222133320 in words is "two hundred twenty-two million, one hundred thirty-three thousand, three hundred twenty".