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2256660 = 223457199
BaseRepresentation
bin1000100110111100010100
311020122120000
420212330110
51034203120
6120211300
725116120
oct10467424
94218500
102256660
11130150a
12909b30
13610203
1442a580
152e8990
hex226f14

2256660 has 120 divisors (see below), whose sum is σ = 8131200. Its totient is φ = 513216.

The previous prime is 2256637. The next prime is 2256673. The reversal of 2256660 is 666522.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11241 + ... + 11439.

It is an arithmetic number, because the mean of its divisors is an integer number (67760).

22256660 is an apocalyptic number.

2256660 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 2256660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4065600).

2256660 is an abundant number, since it is smaller than the sum of its proper divisors (5874540).

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

2256660 is a wasteful number, since it uses less digits than its factorization.

2256660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 2256660 is about 1502.2183596269. The cubic root of 2256660 is about 131.1662322625.

It can be divided in two parts, 2256 and 660, that added together give a square (2916 = 542).

The spelling of 2256660 in words is "two million, two hundred fifty-six thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 199 210 252 270 315 324 378 398 405 420 540 567 597 630 756 796 810 945 995 1134 1194 1260 1393 1620 1791 1890 1990 2268 2388 2786 2835 2985 3582 3780 3980 4179 5373 5572 5670 5970 6965 7164 8358 8955 10746 11340 11940 12537 13930 16119 16716 17910 20895 21492 25074 26865 27860 32238 35820 37611 41790 50148 53730 62685 64476 75222 80595 83580 107460 112833 125370 150444 161190 188055 225666 250740 322380 376110 451332 564165 752220 1128330 2256660