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13195224 = 233472909
BaseRepresentation
bin110010010101…
…011111011000
3220211101110000
4302111133120
511334221344
61150453000
7220105020
oct62253730
926741400
1013195224
1174a2849
124504160
132970033
141a76a80
151259a69
hexc957d8

13195224 has 80 divisors (see below), whose sum is σ = 42253200. Its totient is φ = 3768768.

The previous prime is 13195219. The next prime is 13195249. The reversal of 13195224 is 42259131.

13195224 is a `hidden beast` number, since 131 + 9 + 522 + 4 = 666.

It is a super-2 number, since 2×131952242 = 348227872820352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 3082 + ... + 5990.

It is an arithmetic number, because the mean of its divisors is an integer number (528165).

Almost surely, 213195224 is an apocalyptic number.

13195224 is a gapful number since it is divisible by the number (14) 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 13195224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21126600).

13195224 is an abundant number, since it is smaller than the sum of its proper divisors (29057976).

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

13195224 is a wasteful number, since it uses less digits than its factorization.

13195224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2934 (or 2921 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 13195224 is about 3632.5230900849. The cubic root of 13195224 is about 236.3046434449.

The spelling of 13195224 in words is "thirteen million, one hundred ninety-five thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 252 324 378 504 567 648 756 1134 1512 2268 2909 4536 5818 8727 11636 17454 20363 23272 26181 34908 40726 52362 61089 69816 78543 81452 104724 122178 157086 162904 183267 209448 235629 244356 314172 366534 471258 488712 549801 628344 733068 942516 1099602 1466136 1649403 1885032 2199204 3298806 4398408 6597612 13195224