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213241140 = 22335728059
BaseRepresentation
bin11001011010111…
…00110100110100
3112212020202212000
430231130310310
5414042204030
633054255300
75166343200
oct1455346464
9485222760
10213241140
11aa407252
125b4b7530
13352421b8
142046bb00
1513ac2860
hexcb5cd34

213241140 has 144 divisors (see below), whose sum is σ = 771825600. Its totient is φ = 48734784.

The previous prime is 213241139. The next prime is 213241141. The reversal of 213241140 is 41142312.

213241140 is a `hidden beast` number, since 213 + 2 + 411 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (213241139) and next prime (213241141).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213241141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22431 + ... + 30489.

It is an arithmetic number, because the mean of its divisors is an integer number (5359900).

Almost surely, 2213241140 is an apocalyptic number.

213241140 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 213241140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385912800).

213241140 is an abundant number, since it is smaller than the sum of its proper divisors (558584460).

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

213241140 is a wasteful number, since it uses less digits than its factorization.

213241140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8091 (or 8076 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 213241140 is about 14602.7785027371. The cubic root of 213241140 is about 597.4345463802.

Adding to 213241140 its reverse (41142312), we get a palindrome (254383452).

The spelling of 213241140 in words is "two hundred thirteen million, two hundred forty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 49 54 60 63 70 84 90 98 105 108 126 135 140 147 180 189 196 210 245 252 270 294 315 378 420 441 490 540 588 630 735 756 882 945 980 1260 1323 1470 1764 1890 2205 2646 2940 3780 4410 5292 6615 8059 8820 13230 16118 24177 26460 32236 40295 48354 56413 72531 80590 96708 112826 120885 145062 161180 169239 217593 225652 241770 282065 290124 338478 362655 394891 435186 483540 507717 564130 676956 725310 789782 846195 870372 1015434 1087965 1128260 1184673 1450620 1523151 1579564 1692390 1974455 2030868 2175930 2369346 2538585 3046302 3384780 3554019 3948910 4351860 4738692 5077170 5923365 6092604 7108038 7615755 7897820 10154340 10662057 11846730 14216076 15231510 17770095 21324114 23693460 30463020 35540190 42648228 53310285 71080380 106620570 213241140