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2185248 = 2531317103
BaseRepresentation
bin1000010101100000100000
311010000121010
420111200200
51024411443
6114500520
724400662
oct10254040
94100533
102185248
11126289a
12894740
135b6860
1440c532
152d2733
hex215820

2185248 has 96 divisors (see below), whose sum is σ = 6604416. Its totient is φ = 626688.

The previous prime is 2185241. The next prime is 2185279. The reversal of 2185248 is 8425812.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (2185241) 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, 21165 + ... + 21267.

It is an arithmetic number, because the mean of its divisors is an integer number (68796).

22185248 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 2185248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3302208).

2185248 is an abundant number, since it is smaller than the sum of its proper divisors (4419168).

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

2185248 is a wasteful number, since it uses less digits than its factorization.

2185248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 138 counting only the distinct ones).

The product of its digits is 5120, while the sum is 30.

The square root of 2185248 is about 1478.2584347806. The cubic root of 2185248 is about 129.7677905967.

The spelling of 2185248 in words is "two million, one hundred eighty-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 68 78 96 102 103 104 136 156 204 206 208 221 272 309 312 408 412 416 442 544 618 624 663 816 824 884 1236 1248 1326 1339 1632 1648 1751 1768 2472 2652 2678 3296 3502 3536 4017 4944 5253 5304 5356 7004 7072 8034 9888 10506 10608 10712 14008 16068 21012 21216 21424 22763 28016 32136 42024 42848 45526 56032 64272 68289 84048 91052 128544 136578 168096 182104 273156 364208 546312 728416 1092624 2185248