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10229418 = 2324183167
BaseRepresentation
bin100111000001…
…011010101010
3201020201010100
4213001122222
510104320133
61003130230
7152643243
oct47013252
921221110
1010229418
115857571
123513976
132172114
141503cca
15d70e13
hex9c16aa

10229418 has 48 divisors (see below), whose sum is σ = 23115456. Its totient is φ = 3266880.

The previous prime is 10229413. The next prime is 10229419. The reversal of 10229418 is 81492201.

It is a junction number, because it is equal to n+sod(n) for n = 10229391 and 10229400.

It is not an unprimeable number, because it can be changed into a prime (10229413) 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 23 ways as a sum of consecutive naturals, for example, 61171 + ... + 61337.

It is an arithmetic number, because the mean of its divisors is an integer number (481572).

Almost surely, 210229418 is an apocalyptic number.

10229418 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

10229418 is an abundant number, since it is smaller than the sum of its proper divisors (12886038).

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

10229418 is a wasteful number, since it uses less digits than its factorization.

10229418 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 10229418 is about 3198.3461351142. The cubic root of 10229418 is about 217.0785815481.

It can be divided in two parts, 1022 and 9418, that added together give a triangular number (10440 = T144).

The spelling of 10229418 in words is "ten million, two hundred twenty-nine thousand, four hundred eighteen".

Divisors: 1 2 3 6 9 18 41 82 83 123 166 167 246 249 334 369 498 501 738 747 1002 1494 1503 3006 3403 6806 6847 10209 13694 13861 20418 20541 27722 30627 41082 41583 61254 61623 83166 123246 124749 249498 568301 1136602 1704903 3409806 5114709 10229418