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4022016 = 2835237
BaseRepresentation
bin1111010101111100000000
321120100011120
433111330000
52012201031
6222112240
746120665
oct17257400
97510146
104022016
1122a7889
12141b680
13aaa8bb
14769a6c
15546a96
hex3d5f00

4022016 has 36 divisors (see below), whose sum is σ = 10706472. Its totient is φ = 1340416.

The previous prime is 4022003. The next prime is 4022017. The reversal of 4022016 is 6102204.

4022016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40220162 = 32353225408512, which contains 22 as substring.

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 4021986 and 4022004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4022017) 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 3 ways as a sum of consecutive naturals, for example, 1851 + ... + 3386.

It is an arithmetic number, because the mean of its divisors is an integer number (297402).

Almost surely, 24022016 is an apocalyptic number.

It is an amenable number.

4022016 is an abundant number, since it is smaller than the sum of its proper divisors (6684456).

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

4022016 is an equidigital number, since it uses as much as digits as its factorization.

4022016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5256 (or 5242 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 4022016 is about 2005.4964472669. The cubic root of 4022016 is about 159.0308076849.

The spelling of 4022016 in words is "four million, twenty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 5237 10474 15711 20948 31422 41896 62844 83792 125688 167584 251376 335168 502752 670336 1005504 1340672 2011008 4022016