422331016900 has 81 divisors (see below), whose sum is σ = 992576484711. Its totient is φ = 155906412480.

The previous prime is 422331016853. The next prime is 422331016903. The reversal of 422331016900 is 9610133224.

The square root of 422331016900 is 649870.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 108856444356 + 313474572544 = 329934^2 + 559888^2 .

It is a super-2 number, since 2×422331016900² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (422331016903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 84480601 + ... + 84485599.

Almost surely, 2^422331016900 is an apocalyptic number.

422331016900 is the 649870-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422331016900

422331016900 is an abundant number, since it is smaller than the sum of its proper divisors (570245467811).

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

422331016900 is an equidigital number, since it uses as much as digits as its factorization.

422331016900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10038 (or 5019 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The spelling of 422331016900 in words is "four hundred twenty-two billion, three hundred thirty-one million, sixteen thousand, nine hundred".