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422175360 = 27353141173
BaseRepresentation
bin11001001010011…
…110001010000000
31002102101201201110
4121022132022000
51331034102420
6105520403320
713314300645
oct3112361200
91072351643
10422175360
111a7341662
12b9476540
1369606c09
14400d7dcc
15270e3ee0
hex1929e280

422175360 has 256 divisors, whose sum is σ = 1431198720. Its totient is φ = 105676800.

The previous prime is 422175353. The next prime is 422175361. The reversal of 422175360 is 63571224.

It is a super-2 number, since 2×4221753602 = 356464069182259200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422175361) 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 31 ways as a sum of consecutive naturals, for example, 2440234 + ... + 2440406.

It is an arithmetic number, because the mean of its divisors is an integer number (5590620).

Almost surely, 2422175360 is an apocalyptic number.

422175360 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 422175360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715599360).

422175360 is an abundant number, since it is smaller than the sum of its proper divisors (1009023360).

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

422175360 is a wasteful number, since it uses less digits than its factorization.

422175360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 422175360 is about 20546.9063364780. The cubic root of 422175360 is about 750.1779488867.

The spelling of 422175360 in words is "four hundred twenty-two million, one hundred seventy-five thousand, three hundred sixty".