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422358144 = 27313196173
BaseRepresentation
bin11001001011001…
…010110010000000
31002102202000110020
4121023022302000
51331110430034
6105524333440
713315661565
oct3113126200
91072660406
10422358144
111a7456a1a
12b9544280
136966c180
144014486c
152712d249
hex192cac80

422358144 has 256 divisors, whose sum is σ = 1310332800. Its totient is φ = 119439360.

The previous prime is 422358143. The next prime is 422358161. The reversal of 422358144 is 441853224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422358143) 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, 5785692 + ... + 5785764.

Almost surely, 2422358144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422358144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655166400).

422358144 is an abundant number, since it is smaller than the sum of its proper divisors (887974656).

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

422358144 is a wasteful number, since it uses less digits than its factorization.

422358144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 171 counting only the distinct ones).

The product of its digits is 30720, while the sum is 33.

The square root of 422358144 is about 20551.3538240185. The cubic root of 422358144 is about 750.2861983290.

The spelling of 422358144 in words is "four hundred twenty-two million, three hundred fifty-eight thousand, one hundred forty-four".