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10228848 = 243724349
BaseRepresentation
bin100111000001…
…010001110000
3201020200100020
4213001101300
510104310343
61003123440
7152641500
oct47012160
921220306
1010228848
1158570a3
123513580
132171a96
141503a00
15d70b83
hex9c1470

10228848 has 60 divisors (see below), whose sum is σ = 30745800. Its totient is φ = 2921856.

The previous prime is 10228819. The next prime is 10228861. The reversal of 10228848 is 84882201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 178 + ... + 4526.

It is an arithmetic number, because the mean of its divisors is an integer number (512430).

Almost surely, 210228848 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 10228848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15372900).

10228848 is an abundant number, since it is smaller than the sum of its proper divisors (20516952).

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

10228848 is a wasteful number, since it uses less digits than its factorization.

10228848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4374 (or 4361 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 33.

The square root of 10228848 is about 3198.2570253186. The cubic root of 10228848 is about 217.0745494813.

It can be divided in two parts, 1022 and 8848, that added together give a triangular number (9870 = T140).

The spelling of 10228848 in words is "ten million, two hundred twenty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 784 1176 2352 4349 8698 13047 17396 26094 30443 34792 52188 60886 69584 91329 104376 121772 182658 208752 213101 243544 365316 426202 487088 639303 730632 852404 1278606 1461264 1704808 2557212 3409616 5114424 10228848