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422566016 = 2717918443
BaseRepresentation
bin11001001011111…
…101100010000000
31002110010120121012
4121023331202000
51331134103031
6105533020052
713320515615
oct3113754200
91073116535
10422566016
111a7589114
12b9624628
1369712982
144019a50c
152716eb2b
hex192fd880

422566016 has 32 divisors (see below), whose sum is σ = 846579600. Its totient is φ = 210091264.

The previous prime is 422566013. The next prime is 422566019. The reversal of 422566016 is 610665224.

It is an interprime number because it is at equal distance from previous prime (422566013) and next prime (422566019).

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×4225660162 = 357124075756224512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (422566013) 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 3 ways as a sum of consecutive naturals, for example, 13691 + ... + 32133.

Almost surely, 2422566016 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 422566016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423289800).

422566016 is an abundant number, since it is smaller than the sum of its proper divisors (424013584).

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

422566016 is a wasteful number, since it uses less digits than its factorization.

422566016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18636 (or 18624 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 422566016 is about 20556.4105816166. The cubic root of 422566016 is about 750.4092675891.

The spelling of 422566016 in words is "four hundred twenty-two million, five hundred sixty-six thousand, sixteen".

Divisors: 1 2 4 8 16 32 64 128 179 358 716 1432 2864 5728 11456 18443 22912 36886 73772 147544 295088 590176 1180352 2360704 3301297 6602594 13205188 26410376 52820752 105641504 211283008 422566016