Search a number
-
+
10228288 = 26717279
BaseRepresentation
bin100111000001…
…001001000000
3201020122120111
4213001021000
510104301123
61003121104
7152640040
oct47011100
921218514
1010228288
115856734
123513194
132171755
141503720
15d7090d
hex9c1240

10228288 has 84 divisors (see below), whose sum is σ = 24952960. Its totient is φ = 4073472.

The previous prime is 10228277. The next prime is 10228301. The reversal of 10228288 is 88282201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 129433 + ... + 129511.

Almost surely, 210228288 is an apocalyptic number.

10228288 is the 2023-rd heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10228288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12476480).

10228288 is an abundant number, since it is smaller than the sum of its proper divisors (14724672).

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

10228288 is an equidigital number, since it uses as much as digits as its factorization.

10228288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 31.

The square root of 10228288 is about 3198.1694764349. The cubic root of 10228288 is about 217.0705880066.

The spelling of 10228288 in words is "ten million, two hundred twenty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 79 112 119 136 158 224 238 272 289 316 448 476 544 553 578 632 952 1088 1106 1156 1264 1343 1904 2023 2212 2312 2528 2686 3808 4046 4424 4624 5056 5372 7616 8092 8848 9248 9401 10744 16184 17696 18496 18802 21488 22831 32368 35392 37604 42976 45662 64736 75208 85952 91324 129472 150416 159817 182648 300832 319634 365296 601664 639268 730592 1278536 1461184 2557072 5114144 10228288