Base | Representation |
---|---|
bin | 11001001010101… |
… | …101111100000000 |
3 | 1002102112000101112 |
4 | 121022231330000 |
5 | 1331043140000 |
6 | 105522022452 |
7 | 13314660260 |
oct | 3112557400 |
9 | 1072460345 |
10 | 422240000 |
11 | 1a7386186 |
12 | b94a7a28 |
13 | 6962a470 |
14 | 401137a0 |
15 | 27108235 |
hex | 192adf00 |
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".
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