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2262330 = 23557219
BaseRepresentation
bin1000101000010100111010
311020221100000
420220110322
51034343310
6120253430
725141500
oct10502472
94227300
102262330
1113057a4
12911276
13612975
1442c670
152ea4c0
hex22853a

2262330 has 144 divisors (see below), whose sum is σ = 7469280. Its totient is φ = 489888.

The previous prime is 2262329. The next prime is 2262353. The reversal of 2262330 is 332622.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 119061 + ... + 119079.

It is an arithmetic number, because the mean of its divisors is an integer number (51870).

22262330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2262330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3734640).

2262330 is an abundant number, since it is smaller than the sum of its proper divisors (5206950).

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

2262330 is a wasteful number, since it uses less digits than its factorization.

2262330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2262330 is about 1504.1043846755. The cubic root of 2262330 is about 131.2759948512.

Adding to 2262330 its reverse (332622), we get a palindrome (2594952).

It can be divided in two parts, 226 and 2330, that added together give a triangular number (2556 = T71).

The spelling of 2262330 in words is "two million, two hundred sixty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 19 21 27 30 35 38 42 45 49 54 57 63 70 81 90 95 98 105 114 126 133 135 147 162 171 189 190 210 243 245 266 270 285 294 315 342 378 399 405 441 486 490 513 567 570 630 665 735 798 810 855 882 931 945 1026 1134 1197 1215 1323 1330 1470 1539 1701 1710 1862 1890 1995 2205 2394 2430 2565 2646 2793 2835 3078 3402 3591 3969 3990 4410 4617 4655 5130 5586 5670 5985 6615 7182 7695 7938 8379 8505 9234 9310 10773 11907 11970 13230 13965 15390 16758 17010 17955 19845 21546 23085 23814 25137 27930 32319 35910 39690 41895 46170 50274 53865 59535 64638 75411 83790 107730 119070 125685 150822 161595 226233 251370 323190 377055 452466 754110 1131165 2262330