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422240000 = 285471329
BaseRepresentation
bin11001001010101…
…101111100000000
31002102112000101112
4121022231330000
51331043140000
6105522022452
713314660260
oct3112557400
91072460345
10422240000
111a7386186
12b94a7a28
136962a470
14401137a0
1527108235
hex192adf00

422240000 has 360 divisors, whose sum is σ = 1340945760. Its totient is φ = 129024000.

The previous prime is 422239997. The next prime is 422240009. The reversal of 422240000 is 42224.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422240009) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 14559986 + ... + 14560014.

Almost surely, 2422240000 is an apocalyptic number.

422240000 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 422240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670472880).

422240000 is an abundant number, since it is smaller than the sum of its proper divisors (918705760).

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

422240000 is an equidigital number, since it uses as much as digits as its factorization.

422240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 422240000 is about 20548.4792624661. The cubic root of 422240000 is about 750.2162339475.

Adding to 422240000 its reverse (42224), we get a palindrome (422282224).

Multiplying 422240000 by its reverse (42224), we get a square (17828661760000 = 42224002).

422240000 divided by its reverse (42224) gives a 4-th power (10000 = 104).

The spelling of 422240000 in words is "four hundred twenty-two million, two hundred forty thousand".