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302010228 = 223313251857
BaseRepresentation
bin10010000000000…
…100111101110100
3210001021201011000
4102000010331310
51104303311403
645545043300
710325021202
oct2200047564
9701251130
10302010228
11145527833
1285186530
134a752aa0
142c178072
151b7a97a3
hex12004f74

302010228 has 96 divisors (see below), whose sum is σ = 847566720. Its totient is φ = 92448000.

The previous prime is 302010227. The next prime is 302010229. The reversal of 302010228 is 822010203.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (302010227) and next prime (302010229).

It is a super-2 number, since 2×3020102282 = 182420355633223968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 302010228.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (302010227) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 351976 + ... + 352832.

It is an arithmetic number, because the mean of its divisors is an integer number (8828820).

Almost surely, 2302010228 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 302010228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423783360).

302010228 is an abundant number, since it is smaller than the sum of its proper divisors (545556492).

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

302010228 is a wasteful number, since it uses less digits than its factorization.

302010228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 302010228 is about 17378.4414721229. The cubic root of 302010228 is about 670.9248592308.

The spelling of 302010228 in words is "three hundred two million, ten thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 251 351 468 502 702 753 857 1004 1404 1506 1714 2259 2571 3012 3263 3428 4518 5142 6526 6777 7713 9036 9789 10284 11141 13052 13554 15426 19578 22282 23139 27108 29367 30852 33423 39156 44564 46278 58734 66846 88101 92556 100269 117468 133692 176202 200538 215107 300807 352404 401076 430214 601614 645321 860428 1203228 1290642 1935963 2581284 2796391 3871926 5592782 5807889 7743852 8389173 11185564 11615778 16778346 23231556 25167519 33556692 50335038 75502557 100670076 151005114 302010228