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2280228 = 2231973137
BaseRepresentation
bin1000101100101100100100
311021211212220
420230230210
51040431403
6120512340
725244616
oct10545444
94254786
102280228
111318195
1291b6b0
1361ab62
14434db6
15300953
hex22cb24

2280228 has 48 divisors (see below), whose sum is σ = 5718720. Its totient is φ = 705024.

The previous prime is 2280221. The next prime is 2280253. The reversal of 2280228 is 8220822.

It is a junction number, because it is equal to n+sod(n) for n = 2280198 and 2280207.

It is not an unprimeable number, because it can be changed into a prime (2280221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16576 + ... + 16712.

It is an arithmetic number, because the mean of its divisors is an integer number (119140).

22280228 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2280228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2859360).

2280228 is an abundant number, since it is smaller than the sum of its proper divisors (3438492).

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

2280228 is a wasteful number, since it uses less digits than its factorization.

2280228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 2280228 is about 1510.0423835111. The cubic root of 2280228 is about 131.6212743882.

The spelling of 2280228 in words is "two million, two hundred eighty thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 12 19 38 57 73 76 114 137 146 219 228 274 292 411 438 548 822 876 1387 1644 2603 2774 4161 5206 5548 7809 8322 10001 10412 15618 16644 20002 30003 31236 40004 60006 120012 190019 380038 570057 760076 1140114 2280228