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2258340 = 2235719283
BaseRepresentation
bin1000100111010110100100
311020201212020
420213112210
51034231330
6120223140
725124040
oct10472644
94221766
102258340
1113027a7
1290aab0
13610bc6
1442b020
152e9210
hex2275a4

2258340 has 96 divisors (see below), whose sum is σ = 7633920. Its totient is φ = 487296.

The previous prime is 2258339. The next prime is 2258351. The reversal of 2258340 is 438522.

It is a self number, because there is not a number n which added to its sum of digits gives 2258340.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7839 + ... + 8121.

It is an arithmetic number, because the mean of its divisors is an integer number (79520).

22258340 is an apocalyptic number.

2258340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2258340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3816960).

2258340 is an abundant number, since it is smaller than the sum of its proper divisors (5375580).

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

2258340 is a wasteful number, since it uses less digits than its factorization.

2258340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2258340 is about 1502.7774286301. Note that the first 3 decimals coincide. The cubic root of 2258340 is about 131.1987736600.

The spelling of 2258340 in words is "two million, two hundred fifty-eight thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 19 20 21 28 30 35 38 42 57 60 70 76 84 95 105 114 133 140 190 210 228 266 283 285 380 399 420 532 566 570 665 798 849 1132 1140 1330 1415 1596 1698 1981 1995 2660 2830 3396 3962 3990 4245 5377 5660 5943 7924 7980 8490 9905 10754 11886 16131 16980 19810 21508 23772 26885 29715 32262 37639 39620 53770 59430 64524 75278 80655 107540 112917 118860 150556 161310 188195 225834 322620 376390 451668 564585 752780 1129170 2258340