Search a number
-
+
6222420 = 2234523167
BaseRepresentation
bin10111101111001001010100
3102201010120000
4113233021110
53043104140
6341211300
7103614111
oct27571124
912633500
106222420
11356aaa6
122100b30
13139b309
14b7d908
1582da30
hex5ef254

6222420 has 120 divisors (see below), whose sum is σ = 20490624. Its totient is φ = 1577664.

The previous prime is 6222409. The next prime is 6222421. The reversal of 6222420 is 242226.

It is a happy number.

6222420 is a `hidden beast` number, since 622 + 2 + 42 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 6222393 and 6222402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6222421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 37177 + ... + 37343.

Almost surely, 26222420 is an apocalyptic number.

6222420 is a gapful number since it is divisible by the number (60) 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 6222420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10245312).

6222420 is an abundant number, since it is smaller than the sum of its proper divisors (14268204).

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

6222420 is a wasteful number, since it uses less digits than its factorization.

6222420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 6222420 is about 2494.4779012852. The cubic root of 6222420 is about 183.9302271687.

Adding to 6222420 its reverse (242226), we get a palindrome (6464646).

The spelling of 6222420 in words is "six million, two hundred twenty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 27 30 36 45 46 54 60 69 81 90 92 108 115 135 138 162 167 180 207 230 270 276 324 334 345 405 414 460 501 540 621 668 690 810 828 835 1002 1035 1242 1380 1503 1620 1670 1863 2004 2070 2484 2505 3006 3105 3340 3726 3841 4140 4509 5010 6012 6210 7452 7515 7682 9018 9315 10020 11523 12420 13527 15030 15364 18036 18630 19205 22545 23046 27054 30060 34569 37260 38410 45090 46092 54108 57615 67635 69138 76820 90180 103707 115230 135270 138276 172845 207414 230460 270540 311121 345690 414828 518535 622242 691380 1037070 1244484 1555605 2074140 3111210 6222420