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10229344 = 252973151
BaseRepresentation
bin100111000001…
…011001100000
3201020201000121
4213001121200
510104314334
61003130024
7152643106
oct47013140
921221017
1010229344
115857504
123513914
132172088
141503c76
15d70db4
hex9c1660

10229344 has 48 divisors (see below), whose sum is σ = 21258720. Its totient is φ = 4838400.

The previous prime is 10229339. The next prime is 10229347. The reversal of 10229344 is 44392201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10229347) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67669 + ... + 67819.

It is an arithmetic number, because the mean of its divisors is an integer number (442890).

Almost surely, 210229344 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 10229344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10629360).

10229344 is an abundant number, since it is smaller than the sum of its proper divisors (11029376).

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

10229344 is a wasteful number, since it uses less digits than its factorization.

10229344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 10229344 is about 3198.3345666143. The cubic root of 10229344 is about 217.0780580952.

The spelling of 10229344 in words is "ten million, two hundred twenty-nine thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 29 32 58 73 116 146 151 232 292 302 464 584 604 928 1168 1208 2117 2336 2416 4234 4379 4832 8468 8758 11023 16936 17516 22046 33872 35032 44092 67744 70064 88184 140128 176368 319667 352736 639334 1278668 2557336 5114672 10229344