422188200 has 576 divisors, whose sum is σ = 1803634560. Its totient is φ = 89579520.

The previous prime is 422188199. The next prime is 422188201. The reversal of 422188200 is 2881224.

It is an interprime number because it is at equal distance from previous prime (422188199) and next prime (422188201).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422188201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5783364 + ... + 5783436.

It is an arithmetic number, because the mean of its divisors is an integer number (3131310).

Almost surely, 2^422188200 is an apocalyptic number.

422188200 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 422188200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901817280).

422188200 is an abundant number, since it is smaller than the sum of its proper divisors (1381446360).

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

422188200 is a wasteful number, since it uses less digits than its factorization.

422188200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 422188200 is about 20547.2187898995. The cubic root of 422188200 is about 750.1855540891.

The spelling of 422188200 in words is "four hundred twenty-two million, one hundred eighty-eight thousand, two hundred".