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13223140 = 22572103131
BaseRepresentation
bin110010011100…
…010011100100
3220212210201221
4302130103210
511341120030
61151230124
7220252300
oct62342344
926783657
1013223140
117511817
124518344
13297c958
141a82d00
151262e7a
hexc9c4e4

13223140 has 72 divisors (see below), whose sum is σ = 32864832. Its totient is φ = 4455360.

The previous prime is 13223123. The next prime is 13223173. The reversal of 13223140 is 4132231.

It is a happy number.

It is an unprimeable number.

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, 100875 + ... + 101005.

It is an arithmetic number, because the mean of its divisors is an integer number (456456).

Almost surely, 213223140 is an apocalyptic number.

13223140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13223140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16432416).

13223140 is an abundant number, since it is smaller than the sum of its proper divisors (19641692).

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

13223140 is a wasteful number, since it uses less digits than its factorization.

13223140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 13223140 is about 3636.3635681818. The cubic root of 13223140 is about 236.4711691989.

Adding to 13223140 its reverse (4132231), we get a palindrome (17355371).

Subtracting from 13223140 its reverse (4132231), we obtain a palindrome (9090909).

The spelling of 13223140 in words is "thirteen million, two hundred twenty-three thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 103 131 140 196 206 245 262 412 490 515 524 655 721 917 980 1030 1310 1442 1834 2060 2620 2884 3605 3668 4585 5047 6419 7210 9170 10094 12838 13493 14420 18340 20188 25235 25676 26986 32095 50470 53972 64190 67465 94451 100940 128380 134930 188902 269860 377804 472255 661157 944510 1322314 1889020 2644628 3305785 6611570 13223140