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1020000228 = 2231323674243
BaseRepresentation
bin111100110010111…
…111011111100100
32122002022101021020
4330302333133210
54042110001403
6245114051140
734163600412
oct7462773744
92562271236
101020000228
114838442a5
12245719ab0
13133420740
14996762b2
155e832453
hex3ccbf7e4

1020000228 has 96 divisors (see below), whose sum is σ = 2715073536. Its totient is φ = 295650432.

The previous prime is 1020000227. The next prime is 1020000277. The reversal of 1020000228 is 8220000201.

It is not an unprimeable number, because it can be changed into a prime (1020000227) 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, 238275 + ... + 242517.

It is an arithmetic number, because the mean of its divisors is an integer number (28282016).

Almost surely, 21020000228 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 1020000228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357536768).

1020000228 is an abundant number, since it is smaller than the sum of its proper divisors (1695073308).

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

1020000228 is a wasteful number, since it uses less digits than its factorization.

1020000228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4353 (or 4351 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 1020000228 is about 31937.4424148209. The cubic root of 1020000228 is about 1006.6227845634.

Adding to 1020000228 its reverse (8220000201), we get a palindrome (9240000429).

The spelling of 1020000228 in words is "one billion, twenty million, two hundred twenty-eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 13 23 26 39 46 52 67 69 78 92 134 138 156 201 268 276 299 402 598 804 871 897 1196 1541 1742 1794 2613 3082 3484 3588 4243 4623 5226 6164 8486 9246 10452 12729 16972 18492 20033 25458 40066 50916 55159 60099 80132 97589 110318 120198 165477 195178 220636 240396 284281 292767 330954 390356 568562 585534 661908 852843 1137124 1171068 1268657 1705686 2537314 3411372 3695653 3805971 5074628 6538463 7391306 7611942 11086959 13076926 14782612 15223884 19615389 22173918 26153852 39230778 44347836 78461556 85000019 170000038 255000057 340000076 510000114 1020000228