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10221344 = 25745631
BaseRepresentation
bin100110111111…
…011100100000
3201020022001022
4212333130200
510104040334
61003025012
7152610560
oct46773440
921208038
1010221344
1158514a1
12350b168
13216b543
141500da0
15d6d82e
hex9bf720

10221344 has 24 divisors (see below), whose sum is σ = 22998528. Its totient is φ = 4380480.

The previous prime is 10221293. The next prime is 10221347. The reversal of 10221344 is 44312201.

It is not an unprimeable number, because it can be changed into a prime (10221347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22592 + ... + 23039.

It is an arithmetic number, because the mean of its divisors is an integer number (958272).

Almost surely, 210221344 is an apocalyptic number.

10221344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10221344 is an abundant number, since it is smaller than the sum of its proper divisors (12777184).

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

10221344 is an equidigital number, since it uses as much as digits as its factorization.

10221344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45648 (or 45640 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 10221344 is about 3197.0836710978. The cubic root of 10221344 is about 217.0214537037.

Adding to 10221344 its reverse (44312201), we get a palindrome (54533545).

The spelling of 10221344 in words is "ten million, two hundred twenty-one thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 45631 91262 182524 319417 365048 638834 730096 1277668 1460192 2555336 5110672 10221344