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12274164 = 2232753919
BaseRepresentation
bin101110110100…
…100111110100
3212002120222200
4232310213310
511120233124
61115024500
7206220510
oct56644764
925076880
1012274164
116a23841
12413b130
132709a26
1418b7140
151126bc9
hexbb49f4

12274164 has 72 divisors (see below), whose sum is σ = 36167040. Its totient is φ = 3436992.

The previous prime is 12274159. The next prime is 12274181. The reversal of 12274164 is 46147221.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12897 + ... + 13815.

It is an arithmetic number, because the mean of its divisors is an integer number (502320).

Almost surely, 212274164 is an apocalyptic number.

12274164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12274164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18083520).

12274164 is an abundant number, since it is smaller than the sum of its proper divisors (23892876).

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

12274164 is a wasteful number, since it uses less digits than its factorization.

12274164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 989 (or 984 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 12274164 is about 3503.4502993478. The cubic root of 12274164 is about 230.6732886305.

The spelling of 12274164 in words is "twelve million, two hundred seventy-four thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 53 63 84 106 126 159 212 252 318 371 477 636 742 919 954 1113 1484 1838 1908 2226 2757 3339 3676 4452 5514 6433 6678 8271 11028 12866 13356 16542 19299 25732 33084 38598 48707 57897 77196 97414 115794 146121 194828 231588 292242 340949 438363 584484 681898 876726 1022847 1363796 1753452 2045694 3068541 4091388 6137082 12274164