422225361800 has 108 divisors (see below), whose sum is σ = 1079288450415. Its totient is φ = 153499737600.

The previous prime is 422225361773. The next prime is 422225361829. The reversal of 422225361800 is 8163522224.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 351608677156 + 70616684644 = 592966^2 + 265738^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=459470.

It is a super-2 number, since 2×422225361800² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 101081312 + ... + 101085488.

Almost surely, 2^422225361800 is an apocalyptic number.

422225361800 is a gapful number since it is divisible by the number (40) 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 422225361800

422225361800 is an abundant number, since it is smaller than the sum of its proper divisors (657063088615).

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

422225361800 is an equidigital number, since it uses as much as digits as its factorization.

422225361800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8392 (or 4195 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The spelling of 422225361800 in words is "four hundred twenty-two billion, two hundred twenty-five million, three hundred sixty-one thousand, eight hundred".