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2017422 = 2321123443
BaseRepresentation
bin111101100100010001110
310210111101100
413230202032
51004024142
6111123530
723101461
oct7544216
93714340
102017422
1111587a0
128135a6
13558354
143a72d8
1529cb4c
hex1ec88e

2017422 has 48 divisors (see below), whose sum is σ = 4987008. Its totient is φ = 583440.

The previous prime is 2017409. The next prime is 2017427. The reversal of 2017422 is 2247102.

It is a super-3 number, since 3×20174223 = 24632671333606306344, which contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2017395 and 2017404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2017427) 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 23 ways as a sum of consecutive naturals, for example, 4333 + ... + 4775.

It is an arithmetic number, because the mean of its divisors is an integer number (103896).

22017422 is an apocalyptic number.

2017422 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2017422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2493504).

2017422 is an abundant number, since it is smaller than the sum of its proper divisors (2969586).

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

2017422 is a wasteful number, since it uses less digits than its factorization.

2017422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 2017422 is about 1420.3598135684. The cubic root of 2017422 is about 126.3568869014.

The spelling of 2017422 in words is "two million, seventeen thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 23 33 46 66 69 99 138 198 207 253 414 443 506 759 886 1329 1518 2277 2658 3987 4554 4873 7974 9746 10189 14619 20378 29238 30567 43857 61134 87714 91701 112079 183402 224158 336237 672474 1008711 2017422