222304434000 has 320 divisors, whose sum is σ = 789629817600. Its totient is φ = 53356800000.

The previous prime is 222304433977. The next prime is 222304434007. The reversal of 222304434000 is 434403222.

It is a super-2 number, since 2×222304434000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222304434007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6649326 + ... + 6682674.

It is an arithmetic number, because the mean of its divisors is an integer number (2467593180).

Almost surely, 2^222304434000 is an apocalyptic number.

222304434000 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 222304434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394814908800).

222304434000 is an abundant number, since it is smaller than the sum of its proper divisors (567325383600).

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

222304434000 is a wasteful number, since it uses less digits than its factorization.

222304434000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33487 (or 33471 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 222304434000 its reverse (434403222), we get a palindrome (222738837222).

The spelling of 222304434000 in words is "two hundred twenty-two billion, three hundred four million, four hundred thirty-four thousand".