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227028320 = 25589107149
BaseRepresentation
bin11011000100000…
…10110101100000
3120211012020022022
431202002311200
5431104401240
634310001012
75424465101
oct1542026540
9524166268
10227028320
11107173812
1264046168
133805b7ac
142221a3a8
1514de79b5
hexd882d60

227028320 has 96 divisors (see below), whose sum is σ = 551124000. Its totient is φ = 88354816.

The previous prime is 227028299. The next prime is 227028367. The reversal of 227028320 is 23820722.

It is a self number, because there is not a number n which added to its sum of digits gives 227028320.

It is a congruent number.

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, 1523606 + ... + 1523754.

It is an arithmetic number, because the mean of its divisors is an integer number (5740875).

Almost surely, 2227028320 is an apocalyptic number.

227028320 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 227028320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275562000).

227028320 is an abundant number, since it is smaller than the sum of its proper divisors (324095680).

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

227028320 is a wasteful number, since it uses less digits than its factorization.

227028320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 227028320 is about 15067.4589762176. The cubic root of 227028320 is about 610.0423870931.

The spelling of 227028320 in words is "two hundred twenty-seven million, twenty-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 89 107 149 160 178 214 298 356 428 445 535 596 712 745 856 890 1070 1192 1424 1490 1712 1780 2140 2384 2848 2980 3424 3560 4280 4768 5960 7120 8560 9523 11920 13261 14240 15943 17120 19046 23840 26522 31886 38092 47615 53044 63772 66305 76184 79715 95230 106088 127544 132610 152368 159430 190460 212176 255088 265220 304736 318860 380920 424352 510176 530440 637720 761840 1060880 1275440 1418927 1523680 2121760 2550880 2837854 5675708 7094635 11351416 14189270 22702832 28378540 45405664 56757080 113514160 227028320