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228822160 = 2457331269
BaseRepresentation
bin11011010001110…
…00110010010000
3120221120100222211
431220320302100
5432034302120
634412241504
75445646000
oct1550706220
9527510884
10228822160
11108189526
1264770294
1338539138
1422566000
151514e25a
hexda38c90

228822160 has 160 divisors (see below), whose sum is σ = 642816000. Its totient is φ = 75640320.

The previous prime is 228822109. The next prime is 228822161. The reversal of 228822160 is 61228822.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (228822161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 850506 + ... + 850774.

It is an arithmetic number, because the mean of its divisors is an integer number (4017600).

Almost surely, 2228822160 is an apocalyptic number.

228822160 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 228822160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321408000).

228822160 is an abundant number, since it is smaller than the sum of its proper divisors (413993840).

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

228822160 is a wasteful number, since it uses less digits than its factorization.

228822160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 228822160 is about 15126.8688101669. The cubic root of 228822160 is about 611.6449020098.

The spelling of 228822160 in words is "two hundred twenty-eight million, eight hundred twenty-two thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 35 40 49 56 62 70 80 98 112 124 140 155 196 217 245 248 269 280 310 343 392 434 490 496 538 560 620 686 784 868 980 1076 1085 1240 1345 1372 1519 1715 1736 1883 1960 2152 2170 2480 2690 2744 3038 3430 3472 3766 3920 4304 4340 5380 5488 6076 6860 7532 7595 8339 8680 9415 10633 10760 12152 13181 13720 15064 15190 16678 17360 18830 21266 21520 24304 26362 27440 30128 30380 33356 37660 41695 42532 52724 53165 58373 60760 65905 66712 75320 83390 85064 92267 105448 106330 116746 121520 131810 133424 150640 166780 170128 184534 210896 212660 233492 263620 291865 333560 369068 408611 425320 461335 466984 527240 583730 667120 738136 817222 850640 922670 933968 1054480 1167460 1476272 1634444 1845340 2043055 2334920 2860277 3268888 3690680 4086110 4669840 5720554 6537776 7381360 8172220 11441108 14301385 16344440 22882216 28602770 32688880 45764432 57205540 114411080 228822160