22234101340320 has 288 divisors, whose sum is σ = 76923201700800. Its totient is φ = 5847346286592.

The previous prime is 22234101340307. The next prime is 22234101340369. The reversal of 22234101340320 is 2304310143222.

22234101340320 is a `hidden beast` number, since 2 + 2 + 234 + 1 + 0 + 1 + 3 + 403 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67843411 + ... + 68170349.

It is an arithmetic number, because the mean of its divisors is an integer number (267094450350).

Almost surely, 2^{22234101340320} is an apocalyptic number.

22234101340320 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 22234101340320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38461600850400).

22234101340320 is an abundant number, since it is smaller than the sum of its proper divisors (54689100360480).

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

22234101340320 is a wasteful number, since it uses less digits than its factorization.

22234101340320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327612 (or 327601 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 22234101340320 its reverse (2304310143222), we get a palindrome (24538411483542).

The spelling of 22234101340320 in words is "twenty-two trillion, two hundred thirty-four billion, one hundred one million, three hundred forty thousand, three hundred twenty".