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10228576 = 253753163
BaseRepresentation
bin100111000001…
…001101100000
3201020122222011
4213001031200
510104303301
61003122304
7152640631
oct47011540
921218864
1010228576
115856976
123513394
132171917
141503888
15d70a51
hex9c1360

10228576 has 48 divisors (see below), whose sum is σ = 21201264. Its totient is φ = 4852224.

The previous prime is 10228571. The next prime is 10228579. The reversal of 10228576 is 67582201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10228571) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62671 + ... + 62833.

It is an arithmetic number, because the mean of its divisors is an integer number (441693).

Almost surely, 210228576 is an apocalyptic number.

10228576 is a gapful number since it is divisible by the number (16) 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 10228576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10600632).

10228576 is an abundant number, since it is smaller than the sum of its proper divisors (10972688).

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

10228576 is a wasteful number, since it uses less digits than its factorization.

10228576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 10228576 is about 3198.2145018744. The cubic root of 10228576 is about 217.0726253545.

The spelling of 10228576 in words is "ten million, two hundred twenty-eight thousand, five hundred seventy-six".

Divisors: 1 2 4 8 16 32 37 53 74 106 148 163 212 296 326 424 592 652 848 1184 1304 1696 1961 2608 3922 5216 6031 7844 8639 12062 15688 17278 24124 31376 34556 48248 62752 69112 96496 138224 192992 276448 319643 639286 1278572 2557144 5114288 10228576