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2285316 = 22321129199
BaseRepresentation
bin1000101101111100000100
311022002212100
420231330010
51041112231
6120552100
725265505
oct10557404
94262770
102285316
111320aa0
12922630
13620277
14436bac
153021e6
hex22df04

2285316 has 72 divisors (see below), whose sum is σ = 6552000. Its totient is φ = 665280.

The previous prime is 2285291. The next prime is 2285317. The reversal of 2285316 is 6135822.

It is a super-3 number, since 3×22853163 = 35806348592533303488, which contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2285316.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2285317) 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, 11385 + ... + 11583.

It is an arithmetic number, because the mean of its divisors is an integer number (91000).

22285316 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 2285316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3276000).

2285316 is an abundant number, since it is smaller than the sum of its proper divisors (4266684).

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

2285316 is a wasteful number, since it uses less digits than its factorization.

2285316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 244 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 2285316 is about 1511.7261656795. The cubic root of 2285316 is about 131.7190996284.

It can be divided in two parts, 2285 and 316, that added together give a square (2601 = 512).

The spelling of 2285316 in words is "two million, two hundred eighty-five thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 29 33 36 44 58 66 87 99 116 132 174 198 199 261 319 348 396 398 522 597 638 796 957 1044 1194 1276 1791 1914 2189 2388 2871 3582 3828 4378 5742 5771 6567 7164 8756 11484 11542 13134 17313 19701 23084 26268 34626 39402 51939 63481 69252 78804 103878 126962 190443 207756 253924 380886 571329 761772 1142658 2285316