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2260830 = 23511131731
BaseRepresentation
bin1000100111111101011110
311020212021110
420213331132
51034321310
6120242450
725134225
oct10477536
94225243
102260830
111304660
12910426
13612090
1442bcbc
152e9d20
hex227f5e

2260830 has 128 divisors (see below), whose sum is σ = 6967296. Its totient is φ = 460800.

The previous prime is 2260823. The next prime is 2260859. The reversal of 2260830 is 380622.

It is a super-2 number, since 2×22608302 = 10222704577800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2260797 and 2260806.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 72915 + ... + 72945.

It is an arithmetic number, because the mean of its divisors is an integer number (54432).

22260830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2260830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3483648).

2260830 is an abundant number, since it is smaller than the sum of its proper divisors (4706466).

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

2260830 is a wasteful number, since it uses less digits than its factorization.

2260830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82.

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 2260830 is about 1503.6056663900. The cubic root of 2260830 is about 131.2469749870.

The spelling of 2260830 in words is "two million, two hundred sixty thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 10 11 13 15 17 22 26 30 31 33 34 39 51 55 62 65 66 78 85 93 102 110 130 143 155 165 170 186 187 195 221 255 286 310 330 341 374 390 403 429 442 465 510 527 561 663 682 715 806 858 930 935 1023 1054 1105 1122 1209 1326 1430 1581 1705 1870 2015 2046 2145 2210 2418 2431 2635 2805 3162 3315 3410 4030 4290 4433 4862 5115 5270 5610 5797 6045 6630 6851 7293 7905 8866 10230 11594 12090 12155 13299 13702 14586 15810 17391 20553 22165 24310 26598 28985 34255 34782 36465 41106 44330 57970 66495 68510 72930 75361 86955 102765 132990 150722 173910 205530 226083 376805 452166 753610 1130415 2260830