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10224228 = 2237592063
BaseRepresentation
bin100111000000…
…001001100100
3201020110000010
4213000021210
510104133403
61003050220
7152622150
oct47001144
921213003
1010224228
115853683
123510970
13216c951
141502060
15d6e603
hex9c0264

10224228 has 48 divisors (see below), whose sum is σ = 27740160. Its totient is φ = 2870304.

The previous prime is 10224217. The next prime is 10224233. The reversal of 10224228 is 82242201.

Adding to 10224228 its reverse (82242201), we get a palindrome (92466429).

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3925 + ... + 5987.

It is an arithmetic number, because the mean of its divisors is an integer number (577920).

Almost surely, 210224228 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 10224228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13870080).

10224228 is an abundant number, since it is smaller than the sum of its proper divisors (17515932).

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

10224228 is a wasteful number, since it uses less digits than its factorization.

10224228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2136 (or 2134 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 10224228 is about 3197.5346753397. The cubic root of 10224228 is about 217.0418629902.

The spelling of 10224228 in words is "ten million, two hundred twenty-four thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 59 84 118 177 236 354 413 708 826 1239 1652 2063 2478 4126 4956 6189 8252 12378 14441 24756 28882 43323 57764 86646 121717 173292 243434 365151 486868 730302 852019 1460604 1704038 2556057 3408076 5112114 10224228