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13219164 = 2232752457
BaseRepresentation
bin110010011011…
…010101011100
3220212121021200
4302123111130
511341003124
61151155500
7220234560
oct62332534
926777250
1013219164
117509832
124515b90
13297abba
141a816a0
151261bc9
hexc9b55c

13219164 has 36 divisors (see below), whose sum is σ = 38189424. Its totient is φ = 3776832.

The previous prime is 13219163. The next prime is 13219177. The reversal of 13219164 is 46191231.

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13219163) 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 11 ways as a sum of consecutive naturals, for example, 25977 + ... + 26480.

Almost surely, 213219164 is an apocalyptic number.

13219164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13219164 is an abundant number, since it is smaller than the sum of its proper divisors (24970260).

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

13219164 is a wasteful number, since it uses less digits than its factorization.

13219164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52474 (or 52469 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 13219164 is about 3635.8168270693. The cubic root of 13219164 is about 236.4474657109.

The spelling of 13219164 in words is "thirteen million, two hundred nineteen thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 52457 104914 157371 209828 314742 367199 472113 629484 734398 944226 1101597 1468796 1888452 2203194 3304791 4406388 6609582 13219164