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2266740 = 2232572257
BaseRepresentation
bin1000101001011001110100
311021011101100
420221121310
51040013430
6120330100
725160400
oct10513164
94234340
102266740
111309043
12913930
13614988
14430100
152eb960
hex229674

2266740 has 108 divisors (see below), whose sum is σ = 8029476. Its totient is φ = 516096.

The previous prime is 2266739. The next prime is 2266753. The reversal of 2266740 is 476622.

It can be written as a sum of positive squares in 2 ways, for example, as 1695204 + 571536 = 1302^2 + 756^2 .

It is a super-2 number, since 2×22667402 = 10276220455200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8692 + ... + 8948.

It is an arithmetic number, because the mean of its divisors is an integer number (74347).

22266740 is an apocalyptic number.

2266740 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 2266740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4014738).

2266740 is an abundant number, since it is smaller than the sum of its proper divisors (5762736).

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

2266740 is a wasteful number, since it uses less digits than its factorization.

2266740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2266740 is about 1505.5696596305. The cubic root of 2266740 is about 131.3612390277.

The spelling of 2266740 in words is "two million, two hundred sixty-six thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 257 294 315 420 441 490 514 588 630 735 771 882 980 1028 1260 1285 1470 1542 1764 1799 2205 2313 2570 2940 3084 3598 3855 4410 4626 5140 5397 7196 7710 8820 8995 9252 10794 11565 12593 15420 16191 17990 21588 23130 25186 26985 32382 35980 37779 46260 50372 53970 62965 64764 75558 80955 107940 113337 125930 151116 161910 188895 226674 251860 323820 377790 453348 566685 755580 1133370 2266740