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10223568 = 243270997
BaseRepresentation
bin100110111111…
…111111010000
3201020102002200
4212333333100
510104123233
61003043200
7152620215
oct46777720
921212080
1010223568
115853133
123510500
13216c564
141501b0c
15d6e313
hex9bffd0

10223568 has 30 divisors (see below), whose sum is σ = 28612194. Its totient is φ = 3407808.

The previous prime is 10223561. The next prime is 10223593. The reversal of 10223568 is 86532201.

It can be written as a sum of positive squares in only one way, i.e., 6110784 + 4112784 = 2472^2 + 2028^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10223561) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 35355 + ... + 35642.

Almost surely, 210223568 is an apocalyptic number.

10223568 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10223568 is an abundant number, since it is smaller than the sum of its proper divisors (18388626).

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

10223568 is a wasteful number, since it uses less digits than its factorization.

10223568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71011 (or 71002 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 10223568 is about 3197.4314691640. The cubic root of 10223568 is about 217.0371926878.

Adding to 10223568 its reverse (86532201), we get a palindrome (96755769).

The spelling of 10223568 in words is "ten million, two hundred twenty-three thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 70997 141994 212991 283988 425982 567976 638973 851964 1135952 1277946 1703928 2555892 3407856 5111784 10223568