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228114480 = 243511711217
BaseRepresentation
bin11011001100011…
…00000000110000
3120220020102020110
431212030000300
5431344130410
634345141320
75436640536
oct1546140060
9526212213
10228114480
11107845870
126448a840
133834bca9
1422420156
151505e720
hexd98c030

228114480 has 160 divisors (see below), whose sum is σ = 782949888. Its totient is φ = 54476800.

The previous prime is 228114463. The next prime is 228114511. The reversal of 228114480 is 84411822.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 186832 + ... + 188048.

Almost surely, 2228114480 is an apocalyptic number.

228114480 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 228114480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391474944).

228114480 is an abundant number, since it is smaller than the sum of its proper divisors (554835408).

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

228114480 is a wasteful number, since it uses less digits than its factorization.

228114480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1315 (or 1309 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 228114480 is about 15103.4592064202. The cubic root of 228114480 is about 611.0137046096.

It can be divided in two parts, 2281 and 14480, that added together give a palindrome (16761).

The spelling of 228114480 in words is "two hundred twenty-eight million, one hundred fourteen thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 71 80 88 110 120 132 142 165 176 213 220 240 264 284 330 355 426 440 528 568 660 710 781 852 880 1065 1136 1217 1320 1420 1562 1704 2130 2343 2434 2640 2840 3124 3408 3651 3905 4260 4686 4868 5680 6085 6248 7302 7810 8520 9372 9736 11715 12170 12496 13387 14604 15620 17040 18255 18744 19472 23430 24340 26774 29208 31240 36510 37488 40161 46860 48680 53548 58416 62480 66935 73020 80322 86407 93720 97360 107096 133870 146040 160644 172814 187440 200805 214192 259221 267740 292080 321288 345628 401610 432035 518442 535480 642576 691256 803220 864070 950477 1036884 1070960 1296105 1382512 1606440 1728140 1900954 2073768 2592210 2851431 3212880 3456280 3801908 4147536 4752385 5184420 5702862 6912560 7603816 9504770 10368840 11405724 14257155 15207632 19009540 20737680 22811448 28514310 38019080 45622896 57028620 76038160 114057240 228114480