22234330405200 has 240 divisors, whose sum is σ = 71985126603456. Its totient is φ = 5865882624000.

The previous prime is 22234330405187. The next prime is 22234330405211. The reversal of 22234330405200 is 250403343222.

It is a happy number.

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 (30).

It is a congruent number.

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, 157125679 + ... + 157267121.

Almost surely, 2^{22234330405200} is an apocalyptic number.

22234330405200 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 22234330405200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35992563301728).

22234330405200 is an abundant number, since it is smaller than the sum of its proper divisors (49750796198256).

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

22234330405200 is a wasteful number, since it uses less digits than its factorization.

22234330405200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142862 (or 142851 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 30.

Adding to 22234330405200 its reverse (250403343222), we get a palindrome (22484733748422).

The spelling of 22234330405200 in words is "twenty-two trillion, two hundred thirty-four billion, three hundred thirty million, four hundred five thousand, two hundred".