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10000228 = 2273141281
BaseRepresentation
bin100110001001…
…011101100100
3200211001201211
4212021131210
510030001403
6554201204
7151000120
oct46113544
920731654
1010000228
115710357
123423204
1320c19c4
141484580
15d2806d
hex989764

10000228 has 48 divisors (see below), whose sum is σ = 21224448. Its totient is φ = 4032000.

The previous prime is 10000223. The next prime is 10000229. The reversal of 10000228 is 82200001.

It is not an unprimeable number, because it can be changed into a prime (10000223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35448 + ... + 35728.

It is an arithmetic number, because the mean of its divisors is an integer number (442176).

Almost surely, 210000228 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 10000228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10612224).

10000228 is an abundant number, since it is smaller than the sum of its proper divisors (11224220).

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

10000228 is a wasteful number, since it uses less digits than its factorization.

10000228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 10000228 is about 3162.3137099282. The cubic root of 10000228 is about 215.4451063611.

Adding to 10000228 its reverse (82200001), we get a palindrome (92200229).

The spelling of 10000228 in words is "ten million, two hundred twenty-eight", and thus it is an aban number.

Divisors: 1 2 4 7 14 28 31 41 62 82 124 164 217 281 287 434 562 574 868 1124 1148 1271 1967 2542 3934 5084 7868 8711 8897 11521 17422 17794 23042 34844 35588 46084 60977 80647 121954 161294 243908 322588 357151 714302 1428604 2500057 5000114 10000228