Search a number
-
+
12274119 = 3311213172
BaseRepresentation
bin101110110100…
…100111000111
3212002120221000
4232310213013
511120232434
61115024343
7206220414
oct56644707
925076830
1012274119
116a23800
12413b0b3
1327099c0
1418b710b
151126b99
hexbb49c7

12274119 has 72 divisors (see below), whose sum is σ = 22865360. Its totient is φ = 6462720.

The previous prime is 12274091. The next prime is 12274127. The reversal of 12274119 is 91147221.

It is not a de Polignac number, because 12274119 - 29 = 12273607 is a prime.

It is a super-2 number, since 2×122741192 = 301307994452322, which contains 22 as substring.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12274092 and 12274101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12274159) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 721999 + ... + 722015.

Almost surely, 212274119 is an apocalyptic number.

12274119 is a deficient number, since it is larger than the sum of its proper divisors (10591241).

12274119 is a wasteful number, since it uses less digits than its factorization.

12274119 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 44 counting only the distinct ones).

The product of its digits is 1008, while the sum is 27.

The square root of 12274119 is about 3503.4438771015. The cubic root of 12274119 is about 230.6730067291.

It can be divided in two parts, 122741 and 19, that added together give a triangular number (122760 = T495).

The spelling of 12274119 in words is "twelve million, two hundred seventy-four thousand, one hundred nineteen".

Divisors: 1 3 9 11 13 17 27 33 39 51 99 117 121 143 153 187 221 289 297 351 363 429 459 561 663 867 1089 1287 1573 1683 1989 2057 2431 2601 3179 3267 3757 3861 4719 5049 5967 6171 7293 7803 9537 11271 14157 18513 21879 26741 28611 33813 34969 41327 42471 55539 65637 80223 85833 101439 104907 123981 240669 314721 371943 454597 722007 944163 1115829 1363791 4091373 12274119