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6226164 = 2232731797
BaseRepresentation
bin10111110000000011110100
3102201022200200
4113300003310
53043214124
6341240500
7103631040
oct27600364
912638620
106226164
11357289a
122103130
13139cc29
14b81020
1582ebc9
hex5f00f4

6226164 has 72 divisors (see below), whose sum is σ = 18590208. Its totient is φ = 1719360.

The previous prime is 6226163. The next prime is 6226177. The reversal of 6226164 is 4616226.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6226163) 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, 7414 + ... + 8210.

Almost surely, 26226164 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 6226164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9295104).

6226164 is an abundant number, since it is smaller than the sum of its proper divisors (12364044).

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

6226164 is a wasteful number, since it uses less digits than its factorization.

6226164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845 (or 840 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 6226164 is about 2495.2282460729. The cubic root of 6226164 is about 183.9671097481.

It can be divided in two parts, 622 and 6164, that added together give a triangular number (6786 = T116).

The spelling of 6226164 in words is "six million, two hundred twenty-six thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 62 63 84 93 124 126 186 217 252 279 372 434 558 651 797 868 1116 1302 1594 1953 2391 2604 3188 3906 4782 5579 7173 7812 9564 11158 14346 16737 22316 24707 28692 33474 49414 50211 66948 74121 98828 100422 148242 172949 200844 222363 296484 345898 444726 518847 691796 889452 1037694 1556541 2075388 3113082 6226164