Search a number
-
+
12274416 = 243571141
BaseRepresentation
bin101110110100…
…101011110000
3212002121100000
4232310223300
511120240131
61115030000
7206221320
oct56645360
925077300
1012274416
116a23a50
12413b300
132709b8b
1418b7280
151126ce6
hexbb4af0

12274416 has 240 divisors, whose sum is σ = 45497088. Its totient is φ = 3110400.

The previous prime is 12274397. The next prime is 12274421. The reversal of 12274416 is 61447221.

It is a super-2 number, since 2×122744162 = 301322576282112, which contains 22 as substring.

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

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

Its product of digits (2688) is a multiple of the sum of its prime divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 12274416.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 299356 + ... + 299396.

Almost surely, 212274416 is an apocalyptic number.

12274416 is a gapful number since it is divisible by the number (16) 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 12274416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22748544).

12274416 is an abundant number, since it is smaller than the sum of its proper divisors (33222672).

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

12274416 is a wasteful number, since it uses less digits than its factorization.

12274416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 64 counting only the distinct ones).

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

The square root of 12274416 is about 3503.4862637093. The cubic root of 12274416 is about 230.6748672654.

It can be divided in two parts, 122744 and 16, that added together give a triangular number (122760 = T495).

The spelling of 12274416 in words is "twelve million, two hundred seventy-four thousand, four hundred sixteen".