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2243808 = 25337253
BaseRepresentation
bin1000100011110011100000
311012222221000
420203303200
51033300213
6120032000
725033500
oct10436340
94188830
102243808
1112a2896
12902600
136073c8
14425a00
152e4c73
hex223ce0

2243808 has 144 divisors (see below), whose sum is σ = 7756560. Its totient is φ = 628992.

The previous prime is 2243803. The next prime is 2243809. The reversal of 2243808 is 8083422.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2243803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42310 + ... + 42362.

It is an arithmetic number, because the mean of its divisors is an integer number (53865).

22243808 is an apocalyptic number.

2243808 is a gapful number since it is divisible by the number (28) 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 2243808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3878280).

2243808 is an abundant number, since it is smaller than the sum of its proper divisors (5512752).

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

2243808 is a wasteful number, since it uses less digits than its factorization.

2243808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2243808 is about 1497.9345780107. The cubic root of 2243808 is about 130.9167546018.

The spelling of 2243808 in words is "two million, two hundred forty-three thousand, eight hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 53 54 56 63 72 84 96 98 106 108 112 126 144 147 159 168 189 196 212 216 224 252 288 294 318 336 371 378 392 424 432 441 477 504 588 636 672 742 756 784 848 864 882 954 1008 1113 1176 1272 1323 1431 1484 1512 1568 1696 1764 1908 2016 2226 2352 2544 2597 2646 2862 2968 3024 3339 3528 3816 4452 4704 5088 5194 5292 5724 5936 6048 6678 7056 7632 7791 8904 10017 10388 10584 11448 11872 13356 14112 15264 15582 17808 20034 20776 21168 22896 23373 26712 31164 35616 40068 41552 42336 45792 46746 53424 62328 70119 80136 83104 93492 106848 124656 140238 160272 186984 249312 280476 320544 373968 560952 747936 1121904 2243808