35422305222200 has 288 divisors, whose sum is σ = 95951625109200. Its totient is φ = 12055731240960.

The previous prime is 35422305222191. The next prime is 35422305222209. The reversal of 35422305222200 is 222250322453.

It is an interprime number because it is at equal distance from previous prime (35422305222191) and next prime (35422305222209).

It is a super-3 number, since 3×35422305222200³ (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35422305222209) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 67366712 + ... + 67890488.

Almost surely, 2^{35422305222200} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35422305222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47975812554600).

35422305222200 is an abundant number, since it is smaller than the sum of its proper divisors (60529319887000).

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

35422305222200 is a wasteful number, since it uses less digits than its factorization.

35422305222200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523899 (or 523853 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 32.

Adding to 35422305222200 its reverse (222250322453), we get a palindrome (35644555544653).

The spelling of 35422305222200 in words is "thirty-five trillion, four hundred twenty-two billion, three hundred five million, two hundred twenty-two thousand, two hundred".