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223716480 = 2735138963
BaseRepresentation
bin11010101010110…
…10010010000000
3120120221222022120
431111122102000
5424232411410
634111004240
75354362431
oct1525322200
9516858276
10223716480
11105311559
1262b09680
133746c220
14219d7488
1514991570
hexd55a480

223716480 has 128 divisors (see below), whose sum is σ = 768035520. Its totient is φ = 55062528.

The previous prime is 223716443. The next prime is 223716511. The reversal of 223716480 is 84617322.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20479 + ... + 29441.

Almost surely, 2223716480 is an apocalyptic number.

223716480 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 223716480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384017760).

223716480 is an abundant number, since it is smaller than the sum of its proper divisors (544319040).

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

223716480 is a wasteful number, since it uses less digits than its factorization.

223716480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8998 (or 8986 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 223716480 is about 14957.1548096555. The cubic root of 223716480 is about 607.0614559248.

The spelling of 223716480 in words is "two hundred twenty-three million, seven hundred sixteen thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 260 312 320 384 390 416 480 520 624 640 780 832 960 1040 1248 1560 1664 1920 2080 2496 3120 4160 4992 6240 8320 8963 12480 17926 24960 26889 35852 44815 53778 71704 89630 107556 116519 134445 143408 179260 215112 233038 268890 286816 349557 358520 430224 466076 537780 573632 582595 699114 717040 860448 932152 1075560 1147264 1165190 1398228 1434080 1720896 1747785 1864304 2151120 2330380 2796456 2868160 3441792 3495570 3728608 4302240 4660760 5592912 5736320 6991140 7457216 8604480 9321520 11185824 13982280 14914432 17208960 18643040 22371648 27964560 37286080 44743296 55929120 74572160 111858240 223716480