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2225340414 = 23211791131259
BaseRepresentation
bin1000010010100011…
…1111111111111110
312202002101000011100
42010220333333332
514024141343124
61004452433530
7106101036633
oct20450777776
95662330140
102225340414
11a42168210
125213188a6
1329606479b
1417179618a
15d05751c9
hex84a3fffe

2225340414 has 96 divisors (see below), whose sum is σ = 5377881600. Its totient is φ = 659393280.

The previous prime is 2225340379. The next prime is 2225340431. The reversal of 2225340414 is 4140435222.

2225340414 is a `hidden beast` number, since 2 + 2 + 253 + 404 + 1 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1766917 + ... + 1768175.

It is an arithmetic number, because the mean of its divisors is an integer number (56019600).

Almost surely, 22225340414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2225340414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2688940800).

2225340414 is an abundant number, since it is smaller than the sum of its proper divisors (3152541186).

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

2225340414 is a wasteful number, since it uses less digits than its factorization.

2225340414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1470 (or 1467 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 2225340414 is about 47173.5139034607. The cubic root of 2225340414 is about 1305.5659605310.

Adding to 2225340414 its reverse (4140435222), we get a palindrome (6365775636).

The spelling of 2225340414 in words is "two billion, two hundred twenty-five million, three hundred forty thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 79 99 113 158 198 226 237 339 474 678 711 869 1017 1243 1259 1422 1738 2034 2486 2518 2607 3729 3777 5214 7458 7554 7821 8927 11187 11331 13849 15642 17854 22374 22662 26781 27698 41547 53562 80343 83094 98197 99461 124641 142267 160686 196394 198922 249282 284534 294591 298383 426801 589182 596766 853602 883773 895149 1094071 1280403 1564937 1767546 1790298 2188142 2560806 3129874 3282213 4694811 6564426 9389622 9846639 11239093 14084433 19693278 22478186 28168866 33717279 67434558 101151837 123630023 202303674 247260046 370890069 741780138 1112670207 2225340414