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13005224 = 232921933
BaseRepresentation
bin110001100111…
…000110101000
3220110201210222
4301213012220
511312131344
61142425212
7215354051
oct61470650
926421728
1013005224
117383021
124432208
1329046cb
141a27728
15121d5ee
hexc671a8

13005224 has 24 divisors (see below), whose sum is σ = 25267710. Its totient is φ = 6275136.

The previous prime is 13005211. The next prime is 13005227. The reversal of 13005224 is 42250031.

It can be written as a sum of positive squares in 3 ways, for example, as 12040900 + 964324 = 3470^2 + 982^2 .

It is not an unprimeable number, because it can be changed into a prime (13005227) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 5762 + ... + 7694.

Almost surely, 213005224 is an apocalyptic number.

It is an amenable number.

13005224 is a deficient number, since it is larger than the sum of its proper divisors (12262486).

13005224 is a wasteful number, since it uses less digits than its factorization.

13005224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1997 (or 1964 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 13005224 is about 3606.2756411567. The cubic root of 13005224 is about 235.1649603809.

Adding to 13005224 its reverse (42250031), we get a palindrome (55255255).

The spelling of 13005224 in words is "thirteen million, five thousand, two hundred twenty-four".

Divisors: 1 2 4 8 29 58 116 232 841 1682 1933 3364 3866 6728 7732 15464 56057 112114 224228 448456 1625653 3251306 6502612 13005224