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2290680 = 233457101
BaseRepresentation
bin1000101111001111111000
311022101020000
420233033320
51041300210
6121033000
725320240
oct10571770
94271200
102290680
111325027
12925760
13622842
14438b20
15303ac0
hex22f3f8

2290680 has 160 divisors (see below), whose sum is σ = 8886240. Its totient is φ = 518400.

The previous prime is 2290649. The next prime is 2290703. The reversal of 2290680 is 860922.

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

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

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, 22630 + ... + 22730.

It is an arithmetic number, because the mean of its divisors is an integer number (55539).

22290680 is an apocalyptic number.

2290680 is a gapful number since it is divisible by the number (20) 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 2290680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4443120).

2290680 is an abundant number, since it is smaller than the sum of its proper divisors (6595560).

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

2290680 is a wasteful number, since it uses less digits than its factorization.

2290680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2290680 is about 1513.4992566896. The cubic root of 2290680 is about 131.8220743275.

The spelling of 2290680 in words is "two million, two hundred ninety thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 81 84 90 101 105 108 120 126 135 140 162 168 180 189 202 210 216 252 270 280 303 315 324 360 378 404 405 420 504 505 540 567 606 630 648 707 756 808 810 840 909 945 1010 1080 1134 1212 1260 1414 1512 1515 1620 1818 1890 2020 2121 2268 2424 2520 2727 2828 2835 3030 3240 3535 3636 3780 4040 4242 4536 4545 5454 5656 5670 6060 6363 7070 7272 7560 8181 8484 9090 10605 10908 11340 12120 12726 13635 14140 16362 16968 18180 19089 21210 21816 22680 25452 27270 28280 31815 32724 36360 38178 40905 42420 50904 54540 57267 63630 65448 76356 81810 84840 95445 109080 114534 127260 152712 163620 190890 229068 254520 286335 327240 381780 458136 572670 763560 1145340 2290680