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422134440 = 2335713293143
BaseRepresentation
bin11001001010010…
…100001010101000
31002102022122120220
4121022110022220
51331031300230
6105515450040
713314040440
oct3112241250
91072278526
10422134440
111a7313942
12b9456920
13695c13c0
14400c7120
15270d6d10
hex192942a8

422134440 has 512 divisors, whose sum is σ = 1703116800. Its totient is φ = 81285120.

The previous prime is 422134423. The next prime is 422134441. The reversal of 422134440 is 44431224.

It is a happy number.

It is a super-2 number, since 2×4221344402 = 356394970868227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 422134440.

It is not an unprimeable number, because it can be changed into a prime (422134441) 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 127 ways as a sum of consecutive naturals, for example, 9817059 + ... + 9817101.

It is an arithmetic number, because the mean of its divisors is an integer number (3326400).

Almost surely, 2422134440 is an apocalyptic number.

422134440 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 422134440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851558400).

422134440 is an abundant number, since it is smaller than the sum of its proper divisors (1280982360).

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

422134440 is a wasteful number, since it uses less digits than its factorization.

422134440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 422134440 is about 20545.9105420032. The cubic root of 422134440 is about 750.1537107174.

Adding to 422134440 its reverse (44431224), we get a palindrome (466565664).

The spelling of 422134440 in words is "four hundred twenty-two million, one hundred thirty-four thousand, four hundred forty".