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223830960 = 24356115289
BaseRepresentation
bin11010101011101…
…10001110110000
3120121011210100120
431111312032300
5424300042320
634113250240
75355350253
oct1525661660
9517153316
10223830960
1110538a571
1262b63980
13374ac372
1421a2709a
15149b5440
hexd5763b0

223830960 has 80 divisors (see below), whose sum is σ = 705297120. Its totient is φ = 58705920.

The previous prime is 223830949. The next prime is 223830973. The reversal of 223830960 is 69038322.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6996 + ... + 22284.

It is an arithmetic number, because the mean of its divisors is an integer number (8816214).

Almost surely, 2223830960 is an apocalyptic number.

223830960 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 223830960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352648560).

223830960 is an abundant number, since it is smaller than the sum of its proper divisors (481466160).

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

223830960 is a wasteful number, since it uses less digits than its factorization.

223830960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15366 (or 15360 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 223830960 is about 14960.9812512415. The cubic root of 223830960 is about 607.1649865851.

The spelling of 223830960 in words is "two hundred twenty-three million, eight hundred thirty thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 61 80 120 122 183 240 244 305 366 488 610 732 915 976 1220 1464 1830 2440 2928 3660 4880 7320 14640 15289 30578 45867 61156 76445 91734 122312 152890 183468 229335 244624 305780 366936 458670 611560 733872 917340 932629 1223120 1834680 1865258 2797887 3669360 3730516 4663145 5595774 7461032 9326290 11191548 13989435 14922064 18652580 22383096 27978870 37305160 44766192 55957740 74610320 111915480 223830960