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6868224 = 283211271
BaseRepresentation
bin11010001100110100000000
3110220221102200
4122030310000
53224240344
6403113200
7112243656
oct32146400
913827380
106868224
113971220
122372800
13156624c
14caadd6
1590a069
hex68cd00

6868224 has 108 divisors (see below), whose sum is σ = 21682752. Its totient is φ = 2073600.

The previous prime is 6868207. The next prime is 6868229. The reversal of 6868224 is 4228686.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an Ulam number.

It is a d-powerful number, because it can be written as 67 + 83 + 67 + 87 + 221 + 221 + 47 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6868229) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25209 + ... + 25479.

Almost surely, 26868224 is an apocalyptic number.

6868224 is a gapful number since it is divisible by the number (64) 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 6868224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10841376).

6868224 is an abundant number, since it is smaller than the sum of its proper divisors (14814528).

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

6868224 is a wasteful number, since it uses less digits than its factorization.

6868224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 287 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 6868224 is about 2620.7296693860. The cubic root of 6868224 is about 190.0851326710.

The spelling of 6868224 in words is "six million, eight hundred sixty-eight thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 271 288 352 384 396 528 542 576 704 768 792 813 1056 1084 1152 1408 1584 1626 2112 2168 2304 2439 2816 2981 3168 3252 4224 4336 4878 5962 6336 6504 8448 8672 8943 9756 11924 12672 13008 17344 17886 19512 23848 25344 26016 26829 34688 35772 39024 47696 52032 53658 69376 71544 78048 95392 104064 107316 143088 156096 190784 208128 214632 286176 312192 381568 429264 572352 624384 763136 858528 1144704 1717056 2289408 3434112 6868224