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4228084 = 2272941127
BaseRepresentation
bin10000001000001111110100
321221210211201
4100020033310
52040244314
6230342244
750636530
oct20101764
97853751
104228084
112428693
1214ba984
13b50633
147c0bc0
15587b74
hex4083f4

4228084 has 48 divisors (see below), whose sum is σ = 9031680. Its totient is φ = 1693440.

The previous prime is 4228079. The next prime is 4228097. The reversal of 4228084 is 4808224.

It is a super-2 number, since 2×42280842 = 35753388622112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33229 + ... + 33355.

It is an arithmetic number, because the mean of its divisors is an integer number (188160).

Almost surely, 24228084 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 4228084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4515840).

4228084 is an abundant number, since it is smaller than the sum of its proper divisors (4803596).

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

4228084 is a wasteful number, since it uses less digits than its factorization.

4228084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The square root of 4228084 is about 2056.2305318227. The cubic root of 4228084 is about 161.7016813425.

The spelling of 4228084 in words is "four million, two hundred twenty-eight thousand, eighty-four".

Divisors: 1 2 4 7 14 28 29 41 58 82 116 127 164 203 254 287 406 508 574 812 889 1148 1189 1778 2378 3556 3683 4756 5207 7366 8323 10414 14732 16646 20828 25781 33292 36449 51562 72898 103124 145796 151003 302006 604012 1057021 2114042 4228084