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12444219 = 332329691
BaseRepresentation
bin101111011110…
…001000111011
3212102020021000
4233132020323
511141203334
61122420043
7210526344
oct57361073
925366230
1012444219
11702a587
124201623
132769258
14191d0cb
15115c299
hexbde23b

12444219 has 32 divisors (see below), whose sum is σ = 19929600. Its totient is φ = 7650720.

The previous prime is 12444193. The next prime is 12444239. The reversal of 12444219 is 91244421.

It is a happy number.

12444219 is a `hidden beast` number, since 1 + 2 + 444 + 219 = 666.

It is a de Polignac number, because none of the positive numbers 2k-12444219 is a prime.

It is a super-2 number, since 2×124442192 = 309717173039922, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 12444192 and 12444201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12444239) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17664 + ... + 18354.

It is an arithmetic number, because the mean of its divisors is an integer number (622800).

Almost surely, 212444219 is an apocalyptic number.

12444219 is a deficient number, since it is larger than the sum of its proper divisors (7485381).

12444219 is a wasteful number, since it uses less digits than its factorization.

12444219 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 746 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 12444219 is about 3527.6364608616. The cubic root of 12444219 is about 231.7337102740.

The spelling of 12444219 in words is "twelve million, four hundred forty-four thousand, two hundred nineteen".

Divisors: 1 3 9 23 27 29 69 87 207 261 621 667 691 783 2001 2073 6003 6219 15893 18009 18657 20039 47679 60117 143037 180351 429111 460897 541053 1382691 4148073 12444219