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4016214 = 2322389109
BaseRepresentation
bin1111010100100001010110
321120001012200
433110201112
52012004324
6222025330
746065036
oct17244126
97501180
104016214
1122a3494
121418246
13aa8077
147678c6
15544ec9
hex3d4856

4016214 has 48 divisors (see below), whose sum is σ = 9266400. Its totient is φ = 1254528.

The previous prime is 4016213. The next prime is 4016219. The reversal of 4016214 is 4126104.

4016214 is a `hidden beast` number, since 40 + 1 + 621 + 4 = 666.

4016214 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 2×40162142 = 32259949787592, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4016213) 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, 36792 + ... + 36900.

It is an arithmetic number, because the mean of its divisors is an integer number (193050).

Almost surely, 24016214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4016214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4633200).

4016214 is an abundant number, since it is smaller than the sum of its proper divisors (5250186).

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

4016214 is a wasteful number, since it uses less digits than its factorization.

4016214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4016214 is about 2004.0494005887. The cubic root of 4016214 is about 158.9543003824.

The spelling of 4016214 in words is "four million, sixteen thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 23 46 69 89 109 138 178 207 218 267 327 414 534 654 801 981 1602 1962 2047 2507 4094 5014 6141 7521 9701 12282 15042 18423 19402 22563 29103 36846 45126 58206 87309 174618 223123 446246 669369 1338738 2008107 4016214