Search a number
-
+
12188319 = 3111328411
BaseRepresentation
bin101110011111…
…101010011111
3211221020020020
4232133222133
511110011234
61113123223
7205412313
oct56375237
924836206
1012188319
1169752a0
1240b9513
1326a9930
141893b43
15110b549
hexb9fa9f

12188319 has 16 divisors (see below), whose sum is σ = 19092864. Its totient is φ = 6818400.

The previous prime is 12188273. The next prime is 12188347. The reversal of 12188319 is 91388121.

It is not a de Polignac number, because 12188319 - 27 = 12188191 is a prime.

It is a super-2 number, since 2×121883192 = 297110240091522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a self number, because there is not a number n which added to its sum of digits gives 12188319.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12188389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13777 + ... + 14634.

It is an arithmetic number, because the mean of its divisors is an integer number (1193304).

Almost surely, 212188319 is an apocalyptic number.

12188319 is a deficient number, since it is larger than the sum of its proper divisors (6904545).

12188319 is a wasteful number, since it uses less digits than its factorization.

12188319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28438.

The product of its digits is 3456, while the sum is 33.

The square root of 12188319 is about 3491.1773085880. The cubic root of 12188319 is about 230.1342568393.

The spelling of 12188319 in words is "twelve million, one hundred eighty-eight thousand, three hundred nineteen".

Divisors: 1 3 11 13 33 39 143 429 28411 85233 312521 369343 937563 1108029 4062773 12188319