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2236080 = 24357113
BaseRepresentation
bin1000100001111010110000
311012121022210
420201322300
51033023310
6115532120
725002120
oct10417260
94177283
102236080
111298000
128ba040
13603a32
14422c80
152e2820
hex221eb0

2236080 has 160 divisors (see below), whose sum is σ = 8713728. Its totient is φ = 464640.

The previous prime is 2236079. The next prime is 2236081. The reversal of 2236080 is 806322.

It is an interprime number because it is at equal distance from previous prime (2236079) and next prime (2236081).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2236081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 203275 + ... + 203285.

22236080 is an apocalyptic number.

2236080 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 2236080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4356864).

2236080 is an abundant number, since it is smaller than the sum of its proper divisors (6477648).

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

2236080 is a wasteful number, since it uses less digits than its factorization.

2236080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 2236080 is about 1495.3528011810. The cubic root of 2236080 is about 130.7662829608.

The spelling of 2236080 in words is "two million, two hundred thirty-six thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 28 30 33 35 40 42 44 48 55 56 60 66 70 77 80 84 88 105 110 112 120 121 132 140 154 165 168 176 210 220 231 240 242 264 280 308 330 336 363 385 420 440 462 484 528 560 605 616 660 726 770 840 847 880 924 968 1155 1210 1232 1320 1331 1452 1540 1680 1694 1815 1848 1936 2310 2420 2541 2640 2662 2904 3080 3388 3630 3696 3993 4235 4620 4840 5082 5324 5808 6160 6655 6776 7260 7986 8470 9240 9317 9680 10164 10648 12705 13310 13552 14520 15972 16940 18480 18634 19965 20328 21296 25410 26620 27951 29040 31944 33880 37268 39930 40656 46585 50820 53240 55902 63888 67760 74536 79860 93170 101640 106480 111804 139755 149072 159720 186340 203280 223608 279510 319440 372680 447216 559020 745360 1118040 2236080