Search a number
-
+
12282219 = 334371149
BaseRepresentation
bin101110110110…
…100101101011
3212010000001000
4232312211223
511121012334
61115130043
7206253135
oct56664553
925100030
1012282219
116a298a4
124143923
1327105b1
1418ba055
151129299
hexbb696b

12282219 has 32 divisors (see below), whose sum is σ = 19008000. Its totient is φ = 7832160.

The previous prime is 12282217. The next prime is 12282233. The reversal of 12282219 is 91228221.

It is not a de Polignac number, because 12282219 - 21 = 12282217 is a prime.

It is a super-2 number, since 2×122822192 = 301705807127922, 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 = 12282192 and 12282201.

It is not an unprimeable number, because it can be changed into a prime (12282217) 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, 82357 + ... + 82505.

It is an arithmetic number, because the mean of its divisors is an integer number (594000).

Almost surely, 212282219 is an apocalyptic number.

12282219 is a deficient number, since it is larger than the sum of its proper divisors (6725781).

12282219 is a wasteful number, since it uses less digits than its factorization.

12282219 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 266 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 12282219 is about 3504.5996918336. The cubic root of 12282219 is about 230.7237378785.

The spelling of 12282219 in words is "twelve million, two hundred eighty-two thousand, two hundred nineteen".

Divisors: 1 3 9 27 43 71 129 149 213 387 447 639 1161 1341 1917 3053 4023 6407 9159 10579 19221 27477 31737 57663 82431 95211 172989 285633 454897 1364691 4094073 12282219