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422231040 = 210325721117
BaseRepresentation
bin11001001010101…
…011110000000000
31002102111120002200
4121022223300000
51331042343130
6105521513200
713314622200
oct3112536000
91072446080
10422231040
111a737a480
12b94a2800
136962636a
1440110400
1527105760
hex192abc00

422231040 has 792 divisors, whose sum is σ = 1965807792. Its totient is φ = 82575360.

The previous prime is 422231027. The next prime is 422231059. The reversal of 422231040 is 40132224.

It is a tau number, because it is divible by the number of its divisors (792).

It is a super-2 number, since 2×4222310402 = 356558102278963200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 24837112 + ... + 24837128.

Almost surely, 2422231040 is an apocalyptic number.

422231040 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 422231040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (982903896).

422231040 is an abundant number, since it is smaller than the sum of its proper divisors (1543576752).

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

422231040 is a wasteful number, since it uses less digits than its factorization.

422231040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 422231040 is about 20548.2612403094. The cubic root of 422231040 is about 750.2109273406.

Adding to 422231040 its reverse (40132224), we get a palindrome (462363264).

The spelling of 422231040 in words is "four hundred twenty-two million, two hundred thirty-one thousand, forty".