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224026740 = 223257296131
BaseRepresentation
bin11010101101001…
…10000001110100
3120121112201220200
431112212001310
5424322323430
634121400500
75360124120
oct1526460164
9517481820
10224026740
11105503673
1263039130
133754a502
1421a78580
1514a03460
hexd5a6074

224026740 has 144 divisors (see below), whose sum is σ = 803537280. Its totient is φ = 49432320.

The previous prime is 224026729. The next prime is 224026783. The reversal of 224026740 is 47620422.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33475 + ... + 39605.

It is an arithmetic number, because the mean of its divisors is an integer number (5580120).

Almost surely, 2224026740 is an apocalyptic number.

224026740 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 224026740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401768640).

224026740 is an abundant number, since it is smaller than the sum of its proper divisors (579510540).

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

224026740 is a wasteful number, since it uses less digits than its factorization.

224026740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6182 (or 6177 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 224026740 is about 14967.5228411384. The cubic root of 224026740 is about 607.3419596008.

The spelling of 224026740 in words is "two hundred twenty-four million, twenty-six thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 29 30 35 36 42 45 58 60 63 70 84 87 90 105 116 126 140 145 174 180 203 210 252 261 290 315 348 406 420 435 522 580 609 630 812 870 1015 1044 1218 1260 1305 1740 1827 2030 2436 2610 3045 3654 4060 5220 6090 6131 7308 9135 12180 12262 18270 18393 24524 30655 36540 36786 42917 55179 61310 73572 85834 91965 110358 122620 128751 171668 177799 183930 214585 220716 257502 275895 355598 367860 386253 429170 515004 533397 551790 643755 711196 772506 858340 888995 1066794 1103580 1244593 1287510 1545012 1600191 1777990 1931265 2133588 2489186 2575020 2666985 3200382 3555980 3733779 3862530 4978372 5333970 6222965 6400764 7467558 7725060 8000955 10667940 11201337 12445930 14935116 16001910 18668895 22402674 24891860 32003820 37337790 44805348 56006685 74675580 112013370 224026740