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10222368 = 253138191
BaseRepresentation
bin100110111111…
…101100100000
3201020100110020
4212333230200
510104103433
61003033440
7152613552
oct46775440
921210406
1010222368
115852242
12350b880
13216bb50
1415014d2
15d6dcb3
hex9bfb20

10222368 has 48 divisors (see below), whose sum is σ = 28901376. Its totient is φ = 3144960.

The previous prime is 10222313. The next prime is 10222369. The reversal of 10222368 is 86322201.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (10222369) 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 7 ways as a sum of consecutive naturals, for example, 2848 + ... + 5343.

It is an arithmetic number, because the mean of its divisors is an integer number (602112).

Almost surely, 210222368 is an apocalyptic number.

It is an amenable number.

10222368 is an abundant number, since it is smaller than the sum of its proper divisors (18679008).

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

10222368 is a wasteful number, since it uses less digits than its factorization.

10222368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8217 (or 8209 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 10222368 is about 3197.2438130365. The cubic root of 10222368 is about 217.0287007137.

Adding to 10222368 its reverse (86322201), we get a palindrome (96544569).

The spelling of 10222368 in words is "ten million, two hundred twenty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 8191 16382 24573 32764 49146 65528 98292 106483 131056 196584 212966 262112 319449 393168 425932 638898 786336 851864 1277796 1703728 2555592 3407456 5111184 10222368