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2259096 = 2337217113
BaseRepresentation
bin1000100111100010011000
311020202220020
420213202120
51034242341
6120230440
725126200
oct10474230
94222806
102259096
111303324
1290b420
13611358
1442b400
152e9566
hex227898

2259096 has 96 divisors (see below), whose sum is σ = 7017840. Its totient is φ = 602112.

The previous prime is 2259053. The next prime is 2259097. The reversal of 2259096 is 6909522.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2259097) 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, 19936 + ... + 20048.

22259096 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 2259096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3508920).

2259096 is an abundant number, since it is smaller than the sum of its proper divisors (4758744).

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

2259096 is a wasteful number, since it uses less digits than its factorization.

2259096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 2259096 is about 1503.0289418371. The cubic root of 2259096 is about 131.2134120237.

The spelling of 2259096 in words is "two million, two hundred fifty-nine thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 49 51 56 68 84 98 102 113 119 136 147 168 196 204 226 238 294 339 357 392 408 452 476 588 678 714 791 833 904 952 1176 1356 1428 1582 1666 1921 2373 2499 2712 2856 3164 3332 3842 4746 4998 5537 5763 6328 6664 7684 9492 9996 11074 11526 13447 15368 16611 18984 19992 22148 23052 26894 33222 40341 44296 46104 53788 66444 80682 94129 107576 132888 161364 188258 282387 322728 376516 564774 753032 1129548 2259096