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226010232 = 23327538461
BaseRepresentation
bin11010111100010…
…10010001111000
3120202021111202100
431132022101320
5430324311412
634232103400
75413024650
oct1536122170
9522244670
10226010232
11106638918
1263834b60
1337a93286
1422033360
1514c95edc
hexd78a478

226010232 has 96 divisors (see below), whose sum is σ = 712838880. Its totient is φ = 63348480.

The previous prime is 226010227. The next prime is 226010237. The reversal of 226010232 is 232010622.

226010232 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (226010227) and next prime (226010237).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226010237) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22482 + ... + 30942.

It is an arithmetic number, because the mean of its divisors is an integer number (7425405).

Almost surely, 2226010232 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 226010232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356419440).

226010232 is an abundant number, since it is smaller than the sum of its proper divisors (486828648).

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

226010232 is a wasteful number, since it uses less digits than its factorization.

226010232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8533 (or 8526 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 226010232 is about 15033.6366857790. The cubic root of 226010232 is about 609.1291272535.

Adding to 226010232 its reverse (232010622), we get a palindrome (458020854).

The spelling of 226010232 in words is "two hundred twenty-six million, ten thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 53 56 63 72 84 106 126 159 168 212 252 318 371 424 477 504 636 742 954 1113 1272 1484 1908 2226 2968 3339 3816 4452 6678 8461 8904 13356 16922 25383 26712 33844 50766 59227 67688 76149 101532 118454 152298 177681 203064 236908 304596 355362 448433 473816 533043 609192 710724 896866 1066086 1345299 1421448 1793732 2132172 2690598 3139031 3587464 4035897 4264344 5381196 6278062 8071794 9417093 10762392 12556124 16143588 18834186 25112248 28251279 32287176 37668372 56502558 75336744 113005116 226010232