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2280210 = 235172263
BaseRepresentation
bin1000101100101100010010
311021211212020
420230230102
51040431320
6120512310
725244562
oct10545422
94254766
102280210
111318179
1291b696
1361ab4a
14434da2
15300940
hex22cb12

2280210 has 48 divisors (see below), whose sum is σ = 5835456. Its totient is φ = 570112.

The previous prime is 2280203. The next prime is 2280221. The reversal of 2280210 is 120822.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2280210.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8539 + ... + 8801.

It is an arithmetic number, because the mean of its divisors is an integer number (121572).

22280210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2280210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2917728).

2280210 is an abundant number, since it is smaller than the sum of its proper divisors (3555246).

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

2280210 is a wasteful number, since it uses less digits than its factorization.

2280210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 2280210 is about 1510.0364234018. The cubic root of 2280210 is about 131.6209280501.

The spelling of 2280210 in words is "two million, two hundred eighty thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 263 289 510 526 578 789 867 1315 1445 1578 1734 2630 2890 3945 4335 4471 7890 8670 8942 13413 22355 26826 44710 67065 76007 134130 152014 228021 380035 456042 760070 1140105 2280210