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4222016 = 26411609
BaseRepresentation
bin10000000110110001000000
321221111111222
4100012301000
52040101031
6230254212
750613041
oct20066100
97844458
104222016
112424077
1214b7368
13b4a946
147bc8c8
15585e7b
hex406c40

4222016 has 28 divisors (see below), whose sum is σ = 8587740. Its totient is φ = 2058240.

The previous prime is 4222013. The next prime is 4222037. The reversal of 4222016 is 6102224.

It can be written as a sum of positive squares in 2 ways, for example, as 2262016 + 1960000 = 1504^2 + 1400^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4221985 and 4222003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4222013) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1820 + ... + 3428.

It is an arithmetic number, because the mean of its divisors is an integer number (306705).

Almost surely, 24222016 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 4222016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4293870).

4222016 is an abundant number, since it is smaller than the sum of its proper divisors (4365724).

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

4222016 is a wasteful number, since it uses less digits than its factorization.

4222016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1662 (or 1652 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 4222016 is about 2054.7544865506. The cubic root of 4222016 is about 161.6242880855.

The spelling of 4222016 in words is "four million, two hundred twenty-two thousand, sixteen".

Divisors: 1 2 4 8 16 32 41 64 82 164 328 656 1312 1609 2624 3218 6436 12872 25744 51488 65969 102976 131938 263876 527752 1055504 2111008 4222016