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4228560 = 243257839
BaseRepresentation
bin10000001000010111010000
321221211111100
4100020113100
52040303220
6230344400
750641110
oct20102720
97854440
104228560
112428a86
1214bb100
13b5090b
147c1040
15587d90
hex4085d0

4228560 has 120 divisors (see below), whose sum is σ = 16248960. Its totient is φ = 965376.

The previous prime is 4228559. The next prime is 4228561. The reversal of 4228560 is 658224.

It is an interprime number because it is at equal distance from previous prime (4228559) and next prime (4228561).

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4228561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4621 + ... + 5459.

It is an arithmetic number, because the mean of its divisors is an integer number (135408).

Almost surely, 24228560 is an apocalyptic number.

4228560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4228560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8124480).

4228560 is an abundant number, since it is smaller than the sum of its proper divisors (12020400).

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

4228560 is a wasteful number, since it uses less digits than its factorization.

4228560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 4228560 is about 2056.3462743419. The cubic root of 4228560 is about 161.7077492692.

The spelling of 4228560 in words is "four million, two hundred twenty-eight thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 839 840 1008 1260 1678 1680 2517 2520 3356 4195 5034 5040 5873 6712 7551 8390 10068 11746 12585 13424 15102 16780 17619 20136 23492 25170 29365 30204 33560 35238 37755 40272 46984 50340 52857 58730 60408 67120 70476 75510 88095 93968 100680 105714 117460 120816 140952 151020 176190 201360 211428 234920 264285 281904 302040 352380 422856 469840 528570 604080 704760 845712 1057140 1409520 2114280 4228560