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2209320 = 2332517192
BaseRepresentation
bin1000011011011000101000
311011020121200
420123120220
51031144240
6115204200
724531111
oct10333050
94136550
102209320
111279993
128a6660
135c47b9
14417208
152d9930
hex21b628

2209320 has 144 divisors (see below), whose sum is σ = 8023860. Its totient is φ = 525312.

The previous prime is 2209313. The next prime is 2209327. The reversal of 2209320 is 239022.

It is an interprime number because it is at equal distance from previous prime (2209313) and next prime (2209327).

It can be written as a sum of positive squares in 2 ways, for example, as 2196324 + 12996 = 1482^2 + 114^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2209293 and 2209302.

It is not an unprimeable number, because it can be changed into a prime (2209327) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 116271 + ... + 116289.

22209320 is an apocalyptic number.

2209320 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 2209320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4011930).

2209320 is an abundant number, since it is smaller than the sum of its proper divisors (5814540).

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

2209320 is a wasteful number, since it uses less digits than its factorization.

2209320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2209320 is about 1486.3781483862. The cubic root of 2209320 is about 130.2425452217.

The spelling of 2209320 in words is "two million, two hundred nine thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 19 20 24 30 34 36 38 40 45 51 57 60 68 72 76 85 90 95 102 114 120 136 152 153 170 171 180 190 204 228 255 285 306 323 340 342 360 361 380 408 456 510 570 612 646 680 684 722 760 765 855 969 1020 1083 1140 1224 1292 1368 1444 1530 1615 1710 1805 1938 2040 2166 2280 2584 2888 2907 3060 3230 3249 3420 3610 3876 4332 4845 5415 5814 6120 6137 6460 6498 6840 7220 7752 8664 9690 10830 11628 12274 12920 12996 14440 14535 16245 18411 19380 21660 23256 24548 25992 29070 30685 32490 36822 38760 43320 49096 55233 58140 61370 64980 73644 92055 110466 116280 122740 129960 147288 184110 220932 245480 276165 368220 441864 552330 736440 1104660 2209320