Search a number
-
+
2209284 = 2232711797
BaseRepresentation
bin1000011011011000000100
311011020120100
420123120010
51031144114
6115204100
724531030
oct10333004
94136510
102209284
111279960
128a6630
135c478c
144171c0
152d9909
hex21b604

2209284 has 72 divisors (see below), whose sum is σ = 6971328. Its totient is φ = 573120.

The previous prime is 2209283. The next prime is 2209289. The reversal of 2209284 is 4829022.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2209283) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2374 + ... + 3170.

It is an arithmetic number, because the mean of its divisors is an integer number (96824).

22209284 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 2209284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3485664).

2209284 is an abundant number, since it is smaller than the sum of its proper divisors (4762044).

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

2209284 is a wasteful number, since it uses less digits than its factorization.

2209284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2209284 is about 1486.3660383634. The cubic root of 2209284 is about 130.2418378008.

The spelling of 2209284 in words is "two million, two hundred nine thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 797 924 1386 1594 2391 2772 3188 4782 5579 7173 8767 9564 11158 14346 16737 17534 22316 26301 28692 33474 35068 50211 52602 61369 66948 78903 100422 105204 122738 157806 184107 200844 245476 315612 368214 552321 736428 1104642 2209284