422114000 has 160 divisors (see below), whose sum is σ = 1272989952. Its totient is φ = 131520000.

The previous prime is 422113999. The next prime is 422114023. The reversal of 422114000 is 411224.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 152630 + ... + 155370.

Almost surely, 2^422114000 is an apocalyptic number.

422114000 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 422114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636494976).

422114000 is an abundant number, since it is smaller than the sum of its proper divisors (850875952).

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

422114000 is a wasteful number, since it uses less digits than its factorization.

422114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2782 (or 2766 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 422114000 is about 20545.4131133935. The cubic root of 422114000 is about 750.1416028928.

Adding to 422114000 its reverse (411224), we get a palindrome (422525224).

The spelling of 422114000 in words is "four hundred twenty-two million, one hundred fourteen thousand".