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128106228 = 22323597867
BaseRepresentation
bin1111010001010…
…11111011110100
322221001110201010
413220223323310
5230243344403
620413432220
73113612355
oct750537364
9287043633
10128106228
1166349118
1236a9b670
1320704803
1413029d2c
15b3a7603
hex7a2bef4

128106228 has 48 divisors (see below), whose sum is σ = 317237760. Its totient is φ = 40148064.

The previous prime is 128106221. The next prime is 128106233. The reversal of 128106228 is 822601821.

It is a super-2 number, since 2×1281062282 = 32822411304775968, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 128106195 and 128106204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128106221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12351 + ... + 20217.

It is an arithmetic number, because the mean of its divisors is an integer number (6609120).

Almost surely, 2128106228 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 128106228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158618880).

128106228 is an abundant number, since it is smaller than the sum of its proper divisors (189131532).

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

128106228 is a wasteful number, since it uses less digits than its factorization.

128106228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7956 (or 7954 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 128106228 is about 11318.4021840541. The cubic root of 128106228 is about 504.1077969223.

The spelling of 128106228 in words is "one hundred twenty-eight million, one hundred six thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 12 23 46 59 69 92 118 138 177 236 276 354 708 1357 2714 4071 5428 7867 8142 15734 16284 23601 31468 47202 94404 180941 361882 464153 542823 723764 928306 1085646 1392459 1856612 2171292 2784918 5569836 10675519 21351038 32026557 42702076 64053114 128106228